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Finding the Fourth Proportional to 2,851.68, 4,277.46 and 2,363.70

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Solution

The fourth proportional to 2,851.68, 4,277.46 and 2,363.70 is: 3,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.68 : 4,277.46 = 2,363.70 : x
  2. Step 2: Convert to fraction form
    2,851.68/4,277.46 = 2,363.70/x
  3. Step 3: Cross multiply
    2,851.68x = 4,277.46 × 2,363.70
  4. Step 4: Simplify right side
    2,851.68x = 10,110,632.20
  5. Step 5: Solve for x
    x = 10,110,632.20/2,851.68
  6. Step 6: Final answer
    x = 3,545.50

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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.