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Finding the Fourth Proportional to 2,565.55, 3,849.86 and 922.22

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Solution

The fourth proportional to 2,565.55, 3,849.86 and 922.22 is: 1,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.55 : 3,849.86 = 922.22 : x
  2. Step 2: Convert to fraction form
    2,565.55/3,849.86 = 922.22/x
  3. Step 3: Cross multiply
    2,565.55x = 3,849.86 × 922.22
  4. Step 4: Simplify right side
    2,565.55x = 3,550,435.31
  5. Step 5: Solve for x
    x = 3,550,435.31/2,565.55
  6. Step 6: Final answer
    x = 1,383.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.