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Finding the Fourth Proportional to 1,777.15, 2,452.70 and 1,281.43

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Solution

The fourth proportional to 1,777.15, 2,452.70 and 1,281.43 is: 1,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.15 : 2,452.70 = 1,281.43 : x
  2. Step 2: Convert to fraction form
    1,777.15/2,452.70 = 1,281.43/x
  3. Step 3: Cross multiply
    1,777.15x = 2,452.70 × 1,281.43
  4. Step 4: Simplify right side
    1,777.15x = 3,142,963.36
  5. Step 5: Solve for x
    x = 3,142,963.36/1,777.15
  6. Step 6: Final answer
    x = 1,768.54

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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.