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Finding the Fourth Proportional to 1,417.89, 2,127.78 and 687.52

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Solution

The fourth proportional to 1,417.89, 2,127.78 and 687.52 is: 1,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.89 : 2,127.78 = 687.52 : x
  2. Step 2: Convert to fraction form
    1,417.89/2,127.78 = 687.52/x
  3. Step 3: Cross multiply
    1,417.89x = 2,127.78 × 687.52
  4. Step 4: Simplify right side
    1,417.89x = 1,462,891.31
  5. Step 5: Solve for x
    x = 1,462,891.31/1,417.89
  6. Step 6: Final answer
    x = 1,031.74

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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.