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Finding the Fourth Proportional to 1,516.22, 2,274.59 and 591.76

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Solution

The fourth proportional to 1,516.22, 2,274.59 and 591.76 is: 887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.22 : 2,274.59 = 591.76 : x
  2. Step 2: Convert to fraction form
    1,516.22/2,274.59 = 591.76/x
  3. Step 3: Cross multiply
    1,516.22x = 2,274.59 × 591.76
  4. Step 4: Simplify right side
    1,516.22x = 1,346,011.38
  5. Step 5: Solve for x
    x = 1,346,011.38/1,516.22
  6. Step 6: Final answer
    x = 887.74

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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.