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Finding the Fourth Proportional to 1,482.74, 2,046.15 and 819.57

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Solution

The fourth proportional to 1,482.74, 2,046.15 and 819.57 is: 1,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.74 : 2,046.15 = 819.57 : x
  2. Step 2: Convert to fraction form
    1,482.74/2,046.15 = 819.57/x
  3. Step 3: Cross multiply
    1,482.74x = 2,046.15 × 819.57
  4. Step 4: Simplify right side
    1,482.74x = 1,676,963.16
  5. Step 5: Solve for x
    x = 1,676,963.16/1,482.74
  6. Step 6: Final answer
    x = 1,130.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.