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Finding the Fourth Proportional to 1,417.35, 2,126.02 and 444.13

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Solution

The fourth proportional to 1,417.35, 2,126.02 and 444.13 is: 666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.35 : 2,126.02 = 444.13 : x
  2. Step 2: Convert to fraction form
    1,417.35/2,126.02 = 444.13/x
  3. Step 3: Cross multiply
    1,417.35x = 2,126.02 × 444.13
  4. Step 4: Simplify right side
    1,417.35x = 944,229.26
  5. Step 5: Solve for x
    x = 944,229.26/1,417.35
  6. Step 6: Final answer
    x = 666.19

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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.