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Finding the Fourth Proportional to 2,753.77, 4,123.61 and 1,519.81

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Solution

The fourth proportional to 2,753.77, 4,123.61 and 1,519.81 is: 2,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.77 : 4,123.61 = 1,519.81 : x
  2. Step 2: Convert to fraction form
    2,753.77/4,123.61 = 1,519.81/x
  3. Step 3: Cross multiply
    2,753.77x = 4,123.61 × 1,519.81
  4. Step 4: Simplify right side
    2,753.77x = 6,267,075.50
  5. Step 5: Solve for x
    x = 6,267,075.50/2,753.77
  6. Step 6: Final answer
    x = 2,275.82

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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.