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Finding the Fourth Proportional to 3,031.41, 4,545.75 and 950.93

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Solution

The fourth proportional to 3,031.41, 4,545.75 and 950.93 is: 1,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.41 : 4,545.75 = 950.93 : x
  2. Step 2: Convert to fraction form
    3,031.41/4,545.75 = 950.93/x
  3. Step 3: Cross multiply
    3,031.41x = 4,545.75 × 950.93
  4. Step 4: Simplify right side
    3,031.41x = 4,322,690.05
  5. Step 5: Solve for x
    x = 4,322,690.05/3,031.41
  6. Step 6: Final answer
    x = 1,425.97

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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.