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Finding the Fourth Proportional to 1,652,912.10, 2,474,702.55 and 1,652,912.10

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Solution

The fourth proportional to 1,652,912.10, 2,474,702.55 and 1,652,912.10 is: 2,474,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,912.10 : 2,474,702.55 = 1,652,912.10 : x
  2. Step 2: Convert to fraction form
    1,652,912.10/2,474,702.55 = 1,652,912.10/x
  3. Step 3: Cross multiply
    1,652,912.10x = 2,474,702.55 × 1,652,912.10
  4. Step 4: Simplify right side
    1,652,912.10x = 4,090,465,788,795.86
  5. Step 5: Solve for x
    x = 4,090,465,788,795.86/1,652,912.10
  6. Step 6: Final answer
    x = 2,474,702.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.