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Finding the Fourth Proportional to 1,878.20, 2,812.18 and 964.28

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Solution

The fourth proportional to 1,878.20, 2,812.18 and 964.28 is: 1,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.20 : 2,812.18 = 964.28 : x
  2. Step 2: Convert to fraction form
    1,878.20/2,812.18 = 964.28/x
  3. Step 3: Cross multiply
    1,878.20x = 2,812.18 × 964.28
  4. Step 4: Simplify right side
    1,878.20x = 2,711,728.93
  5. Step 5: Solve for x
    x = 2,711,728.93/1,878.20
  6. Step 6: Final answer
    x = 1,443.79

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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.