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Finding the Fourth Proportional to 2,880.09, 4,320.95 and 932.45

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Solution

The fourth proportional to 2,880.09, 4,320.95 and 932.45 is: 1,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.09 : 4,320.95 = 932.45 : x
  2. Step 2: Convert to fraction form
    2,880.09/4,320.95 = 932.45/x
  3. Step 3: Cross multiply
    2,880.09x = 4,320.95 × 932.45
  4. Step 4: Simplify right side
    2,880.09x = 4,029,043.56
  5. Step 5: Solve for x
    x = 4,029,043.56/2,880.09
  6. Step 6: Final answer
    x = 1,398.93

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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.