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Finding the Fourth Proportional to 2,325.84, 3,488.92 and 1,306.32

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Solution

The fourth proportional to 2,325.84, 3,488.92 and 1,306.32 is: 1,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.84 : 3,488.92 = 1,306.32 : x
  2. Step 2: Convert to fraction form
    2,325.84/3,488.92 = 1,306.32/x
  3. Step 3: Cross multiply
    2,325.84x = 3,488.92 × 1,306.32
  4. Step 4: Simplify right side
    2,325.84x = 4,557,645.97
  5. Step 5: Solve for x
    x = 4,557,645.97/2,325.84
  6. Step 6: Final answer
    x = 1,959.57

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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.