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Finding the Fourth Proportional to 1,516.45, 2,274.18 and 591.78

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Solution

The fourth proportional to 1,516.45, 2,274.18 and 591.78 is: 887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.45 : 2,274.18 = 591.78 : x
  2. Step 2: Convert to fraction form
    1,516.45/2,274.18 = 591.78/x
  3. Step 3: Cross multiply
    1,516.45x = 2,274.18 × 591.78
  4. Step 4: Simplify right side
    1,516.45x = 1,345,814.24
  5. Step 5: Solve for x
    x = 1,345,814.24/1,516.45
  6. Step 6: Final answer
    x = 887.48

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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.