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Finding the Fourth Proportional to 3,301.65, 4,952.39 and 993.15

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Solution

The fourth proportional to 3,301.65, 4,952.39 and 993.15 is: 1,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.65 : 4,952.39 = 993.15 : x
  2. Step 2: Convert to fraction form
    3,301.65/4,952.39 = 993.15/x
  3. Step 3: Cross multiply
    3,301.65x = 4,952.39 × 993.15
  4. Step 4: Simplify right side
    3,301.65x = 4,918,461.16
  5. Step 5: Solve for x
    x = 4,918,461.16/3,301.65
  6. Step 6: Final answer
    x = 1,489.70

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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.