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Finding the Fourth Proportional to 2,565.89, 3,848.84 and 618.09

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Solution

The fourth proportional to 2,565.89, 3,848.84 and 618.09 is: 927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.89 : 3,848.84 = 618.09 : x
  2. Step 2: Convert to fraction form
    2,565.89/3,848.84 = 618.09/x
  3. Step 3: Cross multiply
    2,565.89x = 3,848.84 × 618.09
  4. Step 4: Simplify right side
    2,565.89x = 2,378,929.52
  5. Step 5: Solve for x
    x = 2,378,929.52/2,565.89
  6. Step 6: Final answer
    x = 927.14

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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.