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Finding the Fourth Proportional to 1,516.02, 2,274.30 and 476.06

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Solution

The fourth proportional to 1,516.02, 2,274.30 and 476.06 is: 714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.02 : 2,274.30 = 476.06 : x
  2. Step 2: Convert to fraction form
    1,516.02/2,274.30 = 476.06/x
  3. Step 3: Cross multiply
    1,516.02x = 2,274.30 × 476.06
  4. Step 4: Simplify right side
    1,516.02x = 1,082,691.89
  5. Step 5: Solve for x
    x = 1,082,691.89/1,516.02
  6. Step 6: Final answer
    x = 714.17

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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.