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Finding the Fourth Proportional to 1,778.61, 2,454.62 and 1,032.80

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Solution

The fourth proportional to 1,778.61, 2,454.62 and 1,032.80 is: 1,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.61 : 2,454.62 = 1,032.80 : x
  2. Step 2: Convert to fraction form
    1,778.61/2,454.62 = 1,032.80/x
  3. Step 3: Cross multiply
    1,778.61x = 2,454.62 × 1,032.80
  4. Step 4: Simplify right side
    1,778.61x = 2,535,131.54
  5. Step 5: Solve for x
    x = 2,535,131.54/1,778.61
  6. Step 6: Final answer
    x = 1,425.34

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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.