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Finding the Fourth Proportional to 2,752.38, 4,127.85 and 777.90

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Solution

The fourth proportional to 2,752.38, 4,127.85 and 777.90 is: 1,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.38 : 4,127.85 = 777.90 : x
  2. Step 2: Convert to fraction form
    2,752.38/4,127.85 = 777.90/x
  3. Step 3: Cross multiply
    2,752.38x = 4,127.85 × 777.90
  4. Step 4: Simplify right side
    2,752.38x = 3,211,054.52
  5. Step 5: Solve for x
    x = 3,211,054.52/2,752.38
  6. Step 6: Final answer
    x = 1,166.65

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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.