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Finding the Fourth Proportional to 1,516.17, 2,274.29 and 476.15

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Solution

The fourth proportional to 1,516.17, 2,274.29 and 476.15 is: 714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.17 : 2,274.29 = 476.15 : x
  2. Step 2: Convert to fraction form
    1,516.17/2,274.29 = 476.15/x
  3. Step 3: Cross multiply
    1,516.17x = 2,274.29 × 476.15
  4. Step 4: Simplify right side
    1,516.17x = 1,082,900.80
  5. Step 5: Solve for x
    x = 1,082,900.80/1,516.17
  6. Step 6: Final answer
    x = 714.23

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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.