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Finding the Fourth Proportional to 2,642.41, 3,962.40 and 998.52

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Solution

The fourth proportional to 2,642.41, 3,962.40 and 998.52 is: 1,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.41 : 3,962.40 = 998.52 : x
  2. Step 2: Convert to fraction form
    2,642.41/3,962.40 = 998.52/x
  3. Step 3: Cross multiply
    2,642.41x = 3,962.40 × 998.52
  4. Step 4: Simplify right side
    2,642.41x = 3,956,535.65
  5. Step 5: Solve for x
    x = 3,956,535.65/2,642.41
  6. Step 6: Final answer
    x = 1,497.32

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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.