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Finding the Fourth Proportional to 1,776.86, 2,452.02 and 990.98

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Solution

The fourth proportional to 1,776.86, 2,452.02 and 990.98 is: 1,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.86 : 2,452.02 = 990.98 : x
  2. Step 2: Convert to fraction form
    1,776.86/2,452.02 = 990.98/x
  3. Step 3: Cross multiply
    1,776.86x = 2,452.02 × 990.98
  4. Step 4: Simplify right side
    1,776.86x = 2,429,902.78
  5. Step 5: Solve for x
    x = 2,429,902.78/1,776.86
  6. Step 6: Final answer
    x = 1,367.53

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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.