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Finding the Fourth Proportional to 2,870.44, 4,306.34 and 922.64

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Solution

The fourth proportional to 2,870.44, 4,306.34 and 922.64 is: 1,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 4,306.34 = 922.64 : x
  2. Step 2: Convert to fraction form
    2,870.44/4,306.34 = 922.64/x
  3. Step 3: Cross multiply
    2,870.44x = 4,306.34 × 922.64
  4. Step 4: Simplify right side
    2,870.44x = 3,973,203.94
  5. Step 5: Solve for x
    x = 3,973,203.94/2,870.44
  6. Step 6: Final answer
    x = 1,384.18

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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.