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Finding the Fourth Proportional to 2,870.47, 4,304.94 and 922.24

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Solution

The fourth proportional to 2,870.47, 4,304.94 and 922.24 is: 1,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.47 : 4,304.94 = 922.24 : x
  2. Step 2: Convert to fraction form
    2,870.47/4,304.94 = 922.24/x
  3. Step 3: Cross multiply
    2,870.47x = 4,304.94 × 922.24
  4. Step 4: Simplify right side
    2,870.47x = 3,970,187.87
  5. Step 5: Solve for x
    x = 3,970,187.87/2,870.47
  6. Step 6: Final answer
    x = 1,383.11

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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.