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Finding the Fourth Proportional to 2,957.96, 4,081.70 and 1,823.47

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Solution

The fourth proportional to 2,957.96, 4,081.70 and 1,823.47 is: 2,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.96 : 4,081.70 = 1,823.47 : x
  2. Step 2: Convert to fraction form
    2,957.96/4,081.70 = 1,823.47/x
  3. Step 3: Cross multiply
    2,957.96x = 4,081.70 × 1,823.47
  4. Step 4: Simplify right side
    2,957.96x = 7,442,851.85
  5. Step 5: Solve for x
    x = 7,442,851.85/2,957.96
  6. Step 6: Final answer
    x = 2,516.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.