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Finding the Fourth Proportional to 2,449.89, 3,674.81 and 989.02

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Solution

The fourth proportional to 2,449.89, 3,674.81 and 989.02 is: 1,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.89 : 3,674.81 = 989.02 : x
  2. Step 2: Convert to fraction form
    2,449.89/3,674.81 = 989.02/x
  3. Step 3: Cross multiply
    2,449.89x = 3,674.81 × 989.02
  4. Step 4: Simplify right side
    2,449.89x = 3,634,442.21
  5. Step 5: Solve for x
    x = 3,634,442.21/2,449.89
  6. Step 6: Final answer
    x = 1,483.52

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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.