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Finding the Fourth Proportional to 2,358.57, 3,254.73 and 1,310.70

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Solution

The fourth proportional to 2,358.57, 3,254.73 and 1,310.70 is: 1,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.57 : 3,254.73 = 1,310.70 : x
  2. Step 2: Convert to fraction form
    2,358.57/3,254.73 = 1,310.70/x
  3. Step 3: Cross multiply
    2,358.57x = 3,254.73 × 1,310.70
  4. Step 4: Simplify right side
    2,358.57x = 4,265,974.61
  5. Step 5: Solve for x
    x = 4,265,974.61/2,358.57
  6. Step 6: Final answer
    x = 1,808.71

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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.