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Finding the Fourth Proportional to 2,957.56, 4,434.98 and 876.83

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Solution

The fourth proportional to 2,957.56, 4,434.98 and 876.83 is: 1,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.56 : 4,434.98 = 876.83 : x
  2. Step 2: Convert to fraction form
    2,957.56/4,434.98 = 876.83/x
  3. Step 3: Cross multiply
    2,957.56x = 4,434.98 × 876.83
  4. Step 4: Simplify right side
    2,957.56x = 3,888,696.95
  5. Step 5: Solve for x
    x = 3,888,696.95/2,957.56
  6. Step 6: Final answer
    x = 1,314.83

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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.