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Finding the Fourth Proportional to 2,641.14, 3,642.75 and 2,484.42

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Solution

The fourth proportional to 2,641.14, 3,642.75 and 2,484.42 is: 3,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.14 : 3,642.75 = 2,484.42 : x
  2. Step 2: Convert to fraction form
    2,641.14/3,642.75 = 2,484.42/x
  3. Step 3: Cross multiply
    2,641.14x = 3,642.75 × 2,484.42
  4. Step 4: Simplify right side
    2,641.14x = 9,050,120.96
  5. Step 5: Solve for x
    x = 9,050,120.96/2,641.14
  6. Step 6: Final answer
    x = 3,426.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.