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Finding the Fourth Proportional to 3,298.88, 4,948.64 and 958.90

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Solution

The fourth proportional to 3,298.88, 4,948.64 and 958.90 is: 1,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.88 : 4,948.64 = 958.90 : x
  2. Step 2: Convert to fraction form
    3,298.88/4,948.64 = 958.90/x
  3. Step 3: Cross multiply
    3,298.88x = 4,948.64 × 958.90
  4. Step 4: Simplify right side
    3,298.88x = 4,745,265.66
  5. Step 5: Solve for x
    x = 4,745,265.66/3,298.88
  6. Step 6: Final answer
    x = 1,438.45

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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.