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Finding the Fourth Proportional to 2,776.40, 4,145.28 and 2,499.92

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Solution

The fourth proportional to 2,776.40, 4,145.28 and 2,499.92 is: 3,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.40 : 4,145.28 = 2,499.92 : x
  2. Step 2: Convert to fraction form
    2,776.40/4,145.28 = 2,499.92/x
  3. Step 3: Cross multiply
    2,776.40x = 4,145.28 × 2,499.92
  4. Step 4: Simplify right side
    2,776.40x = 10,362,868.38
  5. Step 5: Solve for x
    x = 10,362,868.38/2,776.40
  6. Step 6: Final answer
    x = 3,732.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.