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Finding the Fourth Proportional to 2,565.75, 3,848.27 and 922.06

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Solution

The fourth proportional to 2,565.75, 3,848.27 and 922.06 is: 1,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.75 : 3,848.27 = 922.06 : x
  2. Step 2: Convert to fraction form
    2,565.75/3,848.27 = 922.06/x
  3. Step 3: Cross multiply
    2,565.75x = 3,848.27 × 922.06
  4. Step 4: Simplify right side
    2,565.75x = 3,548,335.84
  5. Step 5: Solve for x
    x = 3,548,335.84/2,565.75
  6. Step 6: Final answer
    x = 1,382.96

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1.5x scale

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.