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Finding the Fourth Proportional to 2,437.68, 3,655.20 and 877.44

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Solution

The fourth proportional to 2,437.68, 3,655.20 and 877.44 is: 1,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.68 : 3,655.20 = 877.44 : x
  2. Step 2: Convert to fraction form
    2,437.68/3,655.20 = 877.44/x
  3. Step 3: Cross multiply
    2,437.68x = 3,655.20 × 877.44
  4. Step 4: Simplify right side
    2,437.68x = 3,207,218.69
  5. Step 5: Solve for x
    x = 3,207,218.69/2,437.68
  6. Step 6: Final answer
    x = 1,315.68

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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.