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Finding the Fourth Proportional to 3,002.40, 4,496.40 and 1,766.88

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Solution

The fourth proportional to 3,002.40, 4,496.40 and 1,766.88 is: 2,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.40 : 4,496.40 = 1,766.88 : x
  2. Step 2: Convert to fraction form
    3,002.40/4,496.40 = 1,766.88/x
  3. Step 3: Cross multiply
    3,002.40x = 4,496.40 × 1,766.88
  4. Step 4: Simplify right side
    3,002.40x = 7,944,599.23
  5. Step 5: Solve for x
    x = 7,944,599.23/3,002.40
  6. Step 6: Final answer
    x = 2,646.08

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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.