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Finding the Fourth Proportional to 1,778.50, 2,454.28 and 1,032.41

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Solution

The fourth proportional to 1,778.50, 2,454.28 and 1,032.41 is: 1,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.50 : 2,454.28 = 1,032.41 : x
  2. Step 2: Convert to fraction form
    1,778.50/2,454.28 = 1,032.41/x
  3. Step 3: Cross multiply
    1,778.50x = 2,454.28 × 1,032.41
  4. Step 4: Simplify right side
    1,778.50x = 2,533,823.21
  5. Step 5: Solve for x
    x = 2,533,823.21/1,778.50
  6. Step 6: Final answer
    x = 1,424.70

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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.