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Finding the Fourth Proportional to 2,916.46, 4,374.78 and 836.65

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Solution

The fourth proportional to 2,916.46, 4,374.78 and 836.65 is: 1,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.46 : 4,374.78 = 836.65 : x
  2. Step 2: Convert to fraction form
    2,916.46/4,374.78 = 836.65/x
  3. Step 3: Cross multiply
    2,916.46x = 4,374.78 × 836.65
  4. Step 4: Simplify right side
    2,916.46x = 3,660,159.69
  5. Step 5: Solve for x
    x = 3,660,159.69/2,916.46
  6. Step 6: Final answer
    x = 1,255.00

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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.