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Finding the Fourth Proportional to 2,449.01, 3,673.49 and 988.14

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Solution

The fourth proportional to 2,449.01, 3,673.49 and 988.14 is: 1,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.01 : 3,673.49 = 988.14 : x
  2. Step 2: Convert to fraction form
    2,449.01/3,673.49 = 988.14/x
  3. Step 3: Cross multiply
    2,449.01x = 3,673.49 × 988.14
  4. Step 4: Simplify right side
    2,449.01x = 3,629,924.88
  5. Step 5: Solve for x
    x = 3,629,924.88/2,449.01
  6. Step 6: Final answer
    x = 1,482.20

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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.