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Finding the Fourth Proportional to 2,294.68, 3,167.63 and 1,549.65

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Solution

The fourth proportional to 2,294.68, 3,167.63 and 1,549.65 is: 2,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.68 : 3,167.63 = 1,549.65 : x
  2. Step 2: Convert to fraction form
    2,294.68/3,167.63 = 1,549.65/x
  3. Step 3: Cross multiply
    2,294.68x = 3,167.63 × 1,549.65
  4. Step 4: Simplify right side
    2,294.68x = 4,908,698.20
  5. Step 5: Solve for x
    x = 4,908,698.20/2,294.68
  6. Step 6: Final answer
    x = 2,139.17

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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.