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Finding the Fourth Proportional to 2,565.42, 3,848.13 and 1,026.42

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Solution

The fourth proportional to 2,565.42, 3,848.13 and 1,026.42 is: 1,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.42 : 3,848.13 = 1,026.42 : x
  2. Step 2: Convert to fraction form
    2,565.42/3,848.13 = 1,026.42/x
  3. Step 3: Cross multiply
    2,565.42x = 3,848.13 × 1,026.42
  4. Step 4: Simplify right side
    2,565.42x = 3,949,797.59
  5. Step 5: Solve for x
    x = 3,949,797.59/2,565.42
  6. Step 6: Final answer
    x = 1,539.63

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Double scale
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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.