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Finding the Fourth Proportional to 2,880.48, 4,320.78 and 932.28

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Solution

The fourth proportional to 2,880.48, 4,320.78 and 932.28 is: 1,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.48 : 4,320.78 = 932.28 : x
  2. Step 2: Convert to fraction form
    2,880.48/4,320.78 = 932.28/x
  3. Step 3: Cross multiply
    2,880.48x = 4,320.78 × 932.28
  4. Step 4: Simplify right side
    2,880.48x = 4,028,176.78
  5. Step 5: Solve for x
    x = 4,028,176.78/2,880.48
  6. Step 6: Final answer
    x = 1,398.44

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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.