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Finding the Fourth Proportional to 3,031.16, 4,545.38 and 950.68

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Solution

The fourth proportional to 3,031.16, 4,545.38 and 950.68 is: 1,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.16 : 4,545.38 = 950.68 : x
  2. Step 2: Convert to fraction form
    3,031.16/4,545.38 = 950.68/x
  3. Step 3: Cross multiply
    3,031.16x = 4,545.38 × 950.68
  4. Step 4: Simplify right side
    3,031.16x = 4,321,185.74
  5. Step 5: Solve for x
    x = 4,321,185.74/3,031.16
  6. Step 6: Final answer
    x = 1,425.59

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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.