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Finding the Fourth Proportional to 2,390.74, 3,584.72 and 928.18

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Solution

The fourth proportional to 2,390.74, 3,584.72 and 928.18 is: 1,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.74 : 3,584.72 = 928.18 : x
  2. Step 2: Convert to fraction form
    2,390.74/3,584.72 = 928.18/x
  3. Step 3: Cross multiply
    2,390.74x = 3,584.72 × 928.18
  4. Step 4: Simplify right side
    2,390.74x = 3,327,265.41
  5. Step 5: Solve for x
    x = 3,327,265.41/2,390.74
  6. Step 6: Final answer
    x = 1,391.73

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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.