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Finding the Fourth Proportional to 1,777.24, 2,452.05 and 1,068.98

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Solution

The fourth proportional to 1,777.24, 2,452.05 and 1,068.98 is: 1,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.24 : 2,452.05 = 1,068.98 : x
  2. Step 2: Convert to fraction form
    1,777.24/2,452.05 = 1,068.98/x
  3. Step 3: Cross multiply
    1,777.24x = 2,452.05 × 1,068.98
  4. Step 4: Simplify right side
    1,777.24x = 2,621,191.83
  5. Step 5: Solve for x
    x = 2,621,191.83/1,777.24
  6. Step 6: Final answer
    x = 1,474.87

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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.