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Finding the Fourth Proportional to 1,781.50, 2,452.65 and 1,548.55

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Solution

The fourth proportional to 1,781.50, 2,452.65 and 1,548.55 is: 2,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.50 : 2,452.65 = 1,548.55 : x
  2. Step 2: Convert to fraction form
    1,781.50/2,452.65 = 1,548.55/x
  3. Step 3: Cross multiply
    1,781.50x = 2,452.65 × 1,548.55
  4. Step 4: Simplify right side
    1,781.50x = 3,798,051.16
  5. Step 5: Solve for x
    x = 3,798,051.16/1,781.50
  6. Step 6: Final answer
    x = 2,131.94

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