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Finding the Fourth Proportional to 1,702.76, 2,550.92 and 1,007.37

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Solution

The fourth proportional to 1,702.76, 2,550.92 and 1,007.37 is: 1,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.76 : 2,550.92 = 1,007.37 : x
  2. Step 2: Convert to fraction form
    1,702.76/2,550.92 = 1,007.37/x
  3. Step 3: Cross multiply
    1,702.76x = 2,550.92 × 1,007.37
  4. Step 4: Simplify right side
    1,702.76x = 2,569,715.24
  5. Step 5: Solve for x
    x = 2,569,715.24/1,702.76
  6. Step 6: Final answer
    x = 1,509.15

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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.