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Finding the Fourth Proportional to 2,437.65, 3,655.16 and 771.47

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Solution

The fourth proportional to 2,437.65, 3,655.16 and 771.47 is: 1,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.65 : 3,655.16 = 771.47 : x
  2. Step 2: Convert to fraction form
    2,437.65/3,655.16 = 771.47/x
  3. Step 3: Cross multiply
    2,437.65x = 3,655.16 × 771.47
  4. Step 4: Simplify right side
    2,437.65x = 2,819,824.15
  5. Step 5: Solve for x
    x = 2,819,824.15/2,437.65
  6. Step 6: Final answer
    x = 1,156.78

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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.