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Finding the Fourth Proportional to 1,725.29, 2,587.92 and 752.07

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Solution

The fourth proportional to 1,725.29, 2,587.92 and 752.07 is: 1,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.29 : 2,587.92 = 752.07 : x
  2. Step 2: Convert to fraction form
    1,725.29/2,587.92 = 752.07/x
  3. Step 3: Cross multiply
    1,725.29x = 2,587.92 × 752.07
  4. Step 4: Simplify right side
    1,725.29x = 1,946,296.99
  5. Step 5: Solve for x
    x = 1,946,296.99/1,725.29
  6. Step 6: Final answer
    x = 1,128.10

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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.