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Finding the Fourth Proportional to 1,773.96, 2,449.62 and 1,111.94

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Solution

The fourth proportional to 1,773.96, 2,449.62 and 1,111.94 is: 1,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.96 : 2,449.62 = 1,111.94 : x
  2. Step 2: Convert to fraction form
    1,773.96/2,449.62 = 1,111.94/x
  3. Step 3: Cross multiply
    1,773.96x = 2,449.62 × 1,111.94
  4. Step 4: Simplify right side
    1,773.96x = 2,723,830.46
  5. Step 5: Solve for x
    x = 2,723,830.46/1,773.96
  6. Step 6: Final answer
    x = 1,535.45

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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.