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Finding the Fourth Proportional to 3,298.57, 4,948.17 and 958.59

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Solution

The fourth proportional to 3,298.57, 4,948.17 and 958.59 is: 1,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.57 : 4,948.17 = 958.59 : x
  2. Step 2: Convert to fraction form
    3,298.57/4,948.17 = 958.59/x
  3. Step 3: Cross multiply
    3,298.57x = 4,948.17 × 958.59
  4. Step 4: Simplify right side
    3,298.57x = 4,743,268.68
  5. Step 5: Solve for x
    x = 4,743,268.68/3,298.57
  6. Step 6: Final answer
    x = 1,437.98

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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.