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Finding the Fourth Proportional to 2,702.45, 4,053.68 and 2,087.06

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Solution

The fourth proportional to 2,702.45, 4,053.68 and 2,087.06 is: 3,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.45 : 4,053.68 = 2,087.06 : x
  2. Step 2: Convert to fraction form
    2,702.45/4,053.68 = 2,087.06/x
  3. Step 3: Cross multiply
    2,702.45x = 4,053.68 × 2,087.06
  4. Step 4: Simplify right side
    2,702.45x = 8,460,250.50
  5. Step 5: Solve for x
    x = 8,460,250.50/2,702.45
  6. Step 6: Final answer
    x = 3,130.58

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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.