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Finding the Fourth Proportional to 2,565.48, 3,848.22 and 1,470.54

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Solution

The fourth proportional to 2,565.48, 3,848.22 and 1,470.54 is: 2,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.48 : 3,848.22 = 1,470.54 : x
  2. Step 2: Convert to fraction form
    2,565.48/3,848.22 = 1,470.54/x
  3. Step 3: Cross multiply
    2,565.48x = 3,848.22 × 1,470.54
  4. Step 4: Simplify right side
    2,565.48x = 5,658,961.44
  5. Step 5: Solve for x
    x = 5,658,961.44/2,565.48
  6. Step 6: Final answer
    x = 2,205.81

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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.