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Finding the Fourth Proportional to 1,707.52, 2,557.92 and 1,600.96

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Solution

The fourth proportional to 1,707.52, 2,557.92 and 1,600.96 is: 2,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.52 : 2,557.92 = 1,600.96 : x
  2. Step 2: Convert to fraction form
    1,707.52/2,557.92 = 1,600.96/x
  3. Step 3: Cross multiply
    1,707.52x = 2,557.92 × 1,600.96
  4. Step 4: Simplify right side
    1,707.52x = 4,095,127.60
  5. Step 5: Solve for x
    x = 4,095,127.60/1,707.52
  6. Step 6: Final answer
    x = 2,398.29

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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.