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Finding the Fourth Proportional to 2,916.61, 4,374.17 and 836.63

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Solution

The fourth proportional to 2,916.61, 4,374.17 and 836.63 is: 1,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.61 : 4,374.17 = 836.63 : x
  2. Step 2: Convert to fraction form
    2,916.61/4,374.17 = 836.63/x
  3. Step 3: Cross multiply
    2,916.61x = 4,374.17 × 836.63
  4. Step 4: Simplify right side
    2,916.61x = 3,659,561.85
  5. Step 5: Solve for x
    x = 3,659,561.85/2,916.61
  6. Step 6: Final answer
    x = 1,254.73

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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.