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Finding the Fourth Proportional to 2,262.64, 3,122.72 and 1,378.57

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Solution

The fourth proportional to 2,262.64, 3,122.72 and 1,378.57 is: 1,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.64 : 3,122.72 = 1,378.57 : x
  2. Step 2: Convert to fraction form
    2,262.64/3,122.72 = 1,378.57/x
  3. Step 3: Cross multiply
    2,262.64x = 3,122.72 × 1,378.57
  4. Step 4: Simplify right side
    2,262.64x = 4,304,888.11
  5. Step 5: Solve for x
    x = 4,304,888.11/2,262.64
  6. Step 6: Final answer
    x = 1,902.60

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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.