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Finding the Fourth Proportional to 2,294.38, 3,443.64 and 1,470.16

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Solution

The fourth proportional to 2,294.38, 3,443.64 and 1,470.16 is: 2,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.38 : 3,443.64 = 1,470.16 : x
  2. Step 2: Convert to fraction form
    2,294.38/3,443.64 = 1,470.16/x
  3. Step 3: Cross multiply
    2,294.38x = 3,443.64 × 1,470.16
  4. Step 4: Simplify right side
    2,294.38x = 5,062,701.78
  5. Step 5: Solve for x
    x = 5,062,701.78/2,294.38
  6. Step 6: Final answer
    x = 2,206.57

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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.