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Finding the Fourth Proportional to 1,702.92, 2,550.04 and 1,360.20

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Solution

The fourth proportional to 1,702.92, 2,550.04 and 1,360.20 is: 2,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.92 : 2,550.04 = 1,360.20 : x
  2. Step 2: Convert to fraction form
    1,702.92/2,550.04 = 1,360.20/x
  3. Step 3: Cross multiply
    1,702.92x = 2,550.04 × 1,360.20
  4. Step 4: Simplify right side
    1,702.92x = 3,468,564.41
  5. Step 5: Solve for x
    x = 3,468,564.41/1,702.92
  6. Step 6: Final answer
    x = 2,036.83

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