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Finding the Fourth Proportional to 2,437.28, 3,655.44 and 877.20

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Solution

The fourth proportional to 2,437.28, 3,655.44 and 877.20 is: 1,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.28 : 3,655.44 = 877.20 : x
  2. Step 2: Convert to fraction form
    2,437.28/3,655.44 = 877.20/x
  3. Step 3: Cross multiply
    2,437.28x = 3,655.44 × 877.20
  4. Step 4: Simplify right side
    2,437.28x = 3,206,551.97
  5. Step 5: Solve for x
    x = 3,206,551.97/2,437.28
  6. Step 6: Final answer
    x = 1,315.63

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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.