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Finding the Fourth Proportional to 2,327.57, 3,490.81 and 1,390.79

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Solution

The fourth proportional to 2,327.57, 3,490.81 and 1,390.79 is: 2,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.57 : 3,490.81 = 1,390.79 : x
  2. Step 2: Convert to fraction form
    2,327.57/3,490.81 = 1,390.79/x
  3. Step 3: Cross multiply
    2,327.57x = 3,490.81 × 1,390.79
  4. Step 4: Simplify right side
    2,327.57x = 4,854,988.89
  5. Step 5: Solve for x
    x = 4,854,988.89/2,327.57
  6. Step 6: Final answer
    x = 2,085.87

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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.