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Finding the Fourth Proportional to 2,870.18, 4,304.79 and 922.13

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Solution

The fourth proportional to 2,870.18, 4,304.79 and 922.13 is: 1,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.18 : 4,304.79 = 922.13 : x
  2. Step 2: Convert to fraction form
    2,870.18/4,304.79 = 922.13/x
  3. Step 3: Cross multiply
    2,870.18x = 4,304.79 × 922.13
  4. Step 4: Simplify right side
    2,870.18x = 3,969,554.48
  5. Step 5: Solve for x
    x = 3,969,554.48/2,870.18
  6. Step 6: Final answer
    x = 1,383.04

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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.