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Finding the Fourth Proportional to 2,565.36, 3,848.31 and 1,178.73

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Solution

The fourth proportional to 2,565.36, 3,848.31 and 1,178.73 is: 1,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.36 : 3,848.31 = 1,178.73 : x
  2. Step 2: Convert to fraction form
    2,565.36/3,848.31 = 1,178.73/x
  3. Step 3: Cross multiply
    2,565.36x = 3,848.31 × 1,178.73
  4. Step 4: Simplify right side
    2,565.36x = 4,536,118.45
  5. Step 5: Solve for x
    x = 4,536,118.45/2,565.36
  6. Step 6: Final answer
    x = 1,768.22

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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.