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Finding the Fourth Proportional to 2,402.47, 3,315.41 and 1,298.47

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Solution

The fourth proportional to 2,402.47, 3,315.41 and 1,298.47 is: 1,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.47 : 3,315.41 = 1,298.47 : x
  2. Step 2: Convert to fraction form
    2,402.47/3,315.41 = 1,298.47/x
  3. Step 3: Cross multiply
    2,402.47x = 3,315.41 × 1,298.47
  4. Step 4: Simplify right side
    2,402.47x = 4,304,960.42
  5. Step 5: Solve for x
    x = 4,304,960.42/2,402.47
  6. Step 6: Final answer
    x = 1,791.89

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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.