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Finding the Fourth Proportional to 2,358.59, 3,252.96 and 1,650.11

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Solution

The fourth proportional to 2,358.59, 3,252.96 and 1,650.11 is: 2,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.59 : 3,252.96 = 1,650.11 : x
  2. Step 2: Convert to fraction form
    2,358.59/3,252.96 = 1,650.11/x
  3. Step 3: Cross multiply
    2,358.59x = 3,252.96 × 1,650.11
  4. Step 4: Simplify right side
    2,358.59x = 5,367,725.56
  5. Step 5: Solve for x
    x = 5,367,725.56/2,358.59
  6. Step 6: Final answer
    x = 2,275.82

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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.