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Finding the Fourth Proportional to 3,002.76, 4,503.96 and 950.76

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Solution

The fourth proportional to 3,002.76, 4,503.96 and 950.76 is: 1,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.76 : 4,503.96 = 950.76 : x
  2. Step 2: Convert to fraction form
    3,002.76/4,503.96 = 950.76/x
  3. Step 3: Cross multiply
    3,002.76x = 4,503.96 × 950.76
  4. Step 4: Simplify right side
    3,002.76x = 4,282,185.01
  5. Step 5: Solve for x
    x = 4,282,185.01/3,002.76
  6. Step 6: Final answer
    x = 1,426.08

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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.