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Finding the Fourth Proportional to 2,565.86, 3,848.78 and 618.05

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Solution

The fourth proportional to 2,565.86, 3,848.78 and 618.05 is: 927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.86 : 3,848.78 = 618.05 : x
  2. Step 2: Convert to fraction form
    2,565.86/3,848.78 = 618.05/x
  3. Step 3: Cross multiply
    2,565.86x = 3,848.78 × 618.05
  4. Step 4: Simplify right side
    2,565.86x = 2,378,749.65
  5. Step 5: Solve for x
    x = 2,378,749.65/2,565.86
  6. Step 6: Final answer
    x = 927.08

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Why These Related Problems?

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