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Finding the Fourth Proportional to 3,125.50, 4,315.07 and 1,948.17

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Solution

The fourth proportional to 3,125.50, 4,315.07 and 1,948.17 is: 2,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.50 : 4,315.07 = 1,948.17 : x
  2. Step 2: Convert to fraction form
    3,125.50/4,315.07 = 1,948.17/x
  3. Step 3: Cross multiply
    3,125.50x = 4,315.07 × 1,948.17
  4. Step 4: Simplify right side
    3,125.50x = 8,406,469.39
  5. Step 5: Solve for x
    x = 8,406,469.39/3,125.50
  6. Step 6: Final answer
    x = 2,689.64

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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.