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Finding the Fourth Proportional to 2,761.90, 4,142.86 and 1,030.50

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Solution

The fourth proportional to 2,761.90, 4,142.86 and 1,030.50 is: 1,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.90 : 4,142.86 = 1,030.50 : x
  2. Step 2: Convert to fraction form
    2,761.90/4,142.86 = 1,030.50/x
  3. Step 3: Cross multiply
    2,761.90x = 4,142.86 × 1,030.50
  4. Step 4: Simplify right side
    2,761.90x = 4,269,217.23
  5. Step 5: Solve for x
    x = 4,269,217.23/2,761.90
  6. Step 6: Final answer
    x = 1,545.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.