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Finding the Fourth Proportional to 3,034.46, 4,551.65 and 982.46

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Solution

The fourth proportional to 3,034.46, 4,551.65 and 982.46 is: 1,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.46 : 4,551.65 = 982.46 : x
  2. Step 2: Convert to fraction form
    3,034.46/4,551.65 = 982.46/x
  3. Step 3: Cross multiply
    3,034.46x = 4,551.65 × 982.46
  4. Step 4: Simplify right side
    3,034.46x = 4,471,809.15
  5. Step 5: Solve for x
    x = 4,471,809.15/3,034.46
  6. Step 6: Final answer
    x = 1,473.68

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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.