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Finding the Fourth Proportional to 2,565.40, 3,848.10 and 834.20

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Solution

The fourth proportional to 2,565.40, 3,848.10 and 834.20 is: 1,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.40 : 3,848.10 = 834.20 : x
  2. Step 2: Convert to fraction form
    2,565.40/3,848.10 = 834.20/x
  3. Step 3: Cross multiply
    2,565.40x = 3,848.10 × 834.20
  4. Step 4: Simplify right side
    2,565.40x = 3,210,085.02
  5. Step 5: Solve for x
    x = 3,210,085.02/2,565.40
  6. Step 6: Final answer
    x = 1,251.30

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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.