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Finding the Fourth Proportional to 1,778.15, 2,454.15 and 1,032.74

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Solution

The fourth proportional to 1,778.15, 2,454.15 and 1,032.74 is: 1,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.15 : 2,454.15 = 1,032.74 : x
  2. Step 2: Convert to fraction form
    1,778.15/2,454.15 = 1,032.74/x
  3. Step 3: Cross multiply
    1,778.15x = 2,454.15 × 1,032.74
  4. Step 4: Simplify right side
    1,778.15x = 2,534,486.60
  5. Step 5: Solve for x
    x = 2,534,486.60/1,778.15
  6. Step 6: Final answer
    x = 1,425.35

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1.5x scale

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.