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Finding the Fourth Proportional to 1,777.88, 2,454.77 and 1,148.78

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Solution

The fourth proportional to 1,777.88, 2,454.77 and 1,148.78 is: 1,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.88 : 2,454.77 = 1,148.78 : x
  2. Step 2: Convert to fraction form
    1,777.88/2,454.77 = 1,148.78/x
  3. Step 3: Cross multiply
    1,777.88x = 2,454.77 × 1,148.78
  4. Step 4: Simplify right side
    1,777.88x = 2,819,990.68
  5. Step 5: Solve for x
    x = 2,819,990.68/1,777.88
  6. Step 6: Final answer
    x = 1,586.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.