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Finding the Fourth Proportional to 2,998.59, 4,497.87 and 2,306.49

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Solution

The fourth proportional to 2,998.59, 4,497.87 and 2,306.49 is: 3,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.59 : 4,497.87 = 2,306.49 : x
  2. Step 2: Convert to fraction form
    2,998.59/4,497.87 = 2,306.49/x
  3. Step 3: Cross multiply
    2,998.59x = 4,497.87 × 2,306.49
  4. Step 4: Simplify right side
    2,998.59x = 10,374,280.64
  5. Step 5: Solve for x
    x = 10,374,280.64/2,998.59
  6. Step 6: Final answer
    x = 3,459.72

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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.