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Finding the Fourth Proportional to 2,633.46, 3,948.65 and 990.13

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Solution

The fourth proportional to 2,633.46, 3,948.65 and 990.13 is: 1,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.46 : 3,948.65 = 990.13 : x
  2. Step 2: Convert to fraction form
    2,633.46/3,948.65 = 990.13/x
  3. Step 3: Cross multiply
    2,633.46x = 3,948.65 × 990.13
  4. Step 4: Simplify right side
    2,633.46x = 3,909,672.76
  5. Step 5: Solve for x
    x = 3,909,672.76/2,633.46
  6. Step 6: Final answer
    x = 1,484.62

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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.