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Finding the Fourth Proportional to 3,002.55, 4,503.20 and 810.75

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Solution

The fourth proportional to 3,002.55, 4,503.20 and 810.75 is: 1,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.55 : 4,503.20 = 810.75 : x
  2. Step 2: Convert to fraction form
    3,002.55/4,503.20 = 810.75/x
  3. Step 3: Cross multiply
    3,002.55x = 4,503.20 × 810.75
  4. Step 4: Simplify right side
    3,002.55x = 3,650,965.35
  5. Step 5: Solve for x
    x = 3,650,965.35/3,002.55
  6. Step 6: Final answer
    x = 1,215.95

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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.