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Finding the Fourth Proportional to 2,516.46, 3,774.25 and 784.95

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Solution

The fourth proportional to 2,516.46, 3,774.25 and 784.95 is: 1,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.46 : 3,774.25 = 784.95 : x
  2. Step 2: Convert to fraction form
    2,516.46/3,774.25 = 784.95/x
  3. Step 3: Cross multiply
    2,516.46x = 3,774.25 × 784.95
  4. Step 4: Simplify right side
    2,516.46x = 2,962,597.54
  5. Step 5: Solve for x
    x = 2,962,597.54/2,516.46
  6. Step 6: Final answer
    x = 1,177.29

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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.