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Finding the Fourth Proportional to 1,417.92, 2,126.87 and 444.09

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Solution

The fourth proportional to 1,417.92, 2,126.87 and 444.09 is: 666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.92 : 2,126.87 = 444.09 : x
  2. Step 2: Convert to fraction form
    1,417.92/2,126.87 = 444.09/x
  3. Step 3: Cross multiply
    1,417.92x = 2,126.87 × 444.09
  4. Step 4: Simplify right side
    1,417.92x = 944,531.62
  5. Step 5: Solve for x
    x = 944,531.62/1,417.92
  6. Step 6: Final answer
    x = 666.14

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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.