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Finding the Fourth Proportional to 2,689.74, 4,032.18 and 1,302.21

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Solution

The fourth proportional to 2,689.74, 4,032.18 and 1,302.21 is: 1,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.74 : 4,032.18 = 1,302.21 : x
  2. Step 2: Convert to fraction form
    2,689.74/4,032.18 = 1,302.21/x
  3. Step 3: Cross multiply
    2,689.74x = 4,032.18 × 1,302.21
  4. Step 4: Simplify right side
    2,689.74x = 5,250,745.12
  5. Step 5: Solve for x
    x = 5,250,745.12/2,689.74
  6. Step 6: Final answer
    x = 1,952.14

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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.