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Finding the Fourth Proportional to 1,778.32, 2,668.42 and 1,261.66

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Solution

The fourth proportional to 1,778.32, 2,668.42 and 1,261.66 is: 1,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.32 : 2,668.42 = 1,261.66 : x
  2. Step 2: Convert to fraction form
    1,778.32/2,668.42 = 1,261.66/x
  3. Step 3: Cross multiply
    1,778.32x = 2,668.42 × 1,261.66
  4. Step 4: Simplify right side
    1,778.32x = 3,366,638.78
  5. Step 5: Solve for x
    x = 3,366,638.78/1,778.32
  6. Step 6: Final answer
    x = 1,893.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.