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Finding the Fourth Proportional to 2,880.46, 4,320.66 and 932.62

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Solution

The fourth proportional to 2,880.46, 4,320.66 and 932.62 is: 1,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.46 : 4,320.66 = 932.62 : x
  2. Step 2: Convert to fraction form
    2,880.46/4,320.66 = 932.62/x
  3. Step 3: Cross multiply
    2,880.46x = 4,320.66 × 932.62
  4. Step 4: Simplify right side
    2,880.46x = 4,029,533.93
  5. Step 5: Solve for x
    x = 4,029,533.93/2,880.46
  6. Step 6: Final answer
    x = 1,398.92

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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.