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Finding the Fourth Proportional to 2,314.85, 3,473.62 and 928.80

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Solution

The fourth proportional to 2,314.85, 3,473.62 and 928.80 is: 1,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.85 : 3,473.62 = 928.80 : x
  2. Step 2: Convert to fraction form
    2,314.85/3,473.62 = 928.80/x
  3. Step 3: Cross multiply
    2,314.85x = 3,473.62 × 928.80
  4. Step 4: Simplify right side
    2,314.85x = 3,226,295.93
  5. Step 5: Solve for x
    x = 3,226,295.93/2,314.85
  6. Step 6: Final answer
    x = 1,393.74

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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.