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Finding the Fourth Proportional to 1,776.96, 2,452.32 and 991.08

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Solution

The fourth proportional to 1,776.96, 2,452.32 and 991.08 is: 1,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.96 : 2,452.32 = 991.08 : x
  2. Step 2: Convert to fraction form
    1,776.96/2,452.32 = 991.08/x
  3. Step 3: Cross multiply
    1,776.96x = 2,452.32 × 991.08
  4. Step 4: Simplify right side
    1,776.96x = 2,430,445.31
  5. Step 5: Solve for x
    x = 2,430,445.31/1,776.96
  6. Step 6: Final answer
    x = 1,367.75

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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.