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Finding the Fourth Proportional to 2,702.33, 4,053.49 and 2,086.93

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Solution

The fourth proportional to 2,702.33, 4,053.49 and 2,086.93 is: 3,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.33 : 4,053.49 = 2,086.93 : x
  2. Step 2: Convert to fraction form
    2,702.33/4,053.49 = 2,086.93/x
  3. Step 3: Cross multiply
    2,702.33x = 4,053.49 × 2,086.93
  4. Step 4: Simplify right side
    2,702.33x = 8,459,355.10
  5. Step 5: Solve for x
    x = 8,459,355.10/2,702.33
  6. Step 6: Final answer
    x = 3,130.40

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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.