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Finding the Fourth Proportional to 1,516.42, 2,273.28 and 591.76

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Solution

The fourth proportional to 1,516.42, 2,273.28 and 591.76 is: 887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.42 : 2,273.28 = 591.76 : x
  2. Step 2: Convert to fraction form
    1,516.42/2,273.28 = 591.76/x
  3. Step 3: Cross multiply
    1,516.42x = 2,273.28 × 591.76
  4. Step 4: Simplify right side
    1,516.42x = 1,345,242.17
  5. Step 5: Solve for x
    x = 1,345,242.17/1,516.42
  6. Step 6: Final answer
    x = 887.12

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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.