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Finding the Fourth Proportional to 3,034.75, 4,551.60 and 842.89

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Solution

The fourth proportional to 3,034.75, 4,551.60 and 842.89 is: 1,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.75 : 4,551.60 = 842.89 : x
  2. Step 2: Convert to fraction form
    3,034.75/4,551.60 = 842.89/x
  3. Step 3: Cross multiply
    3,034.75x = 4,551.60 × 842.89
  4. Step 4: Simplify right side
    3,034.75x = 3,836,498.12
  5. Step 5: Solve for x
    x = 3,836,498.12/3,034.75
  6. Step 6: Final answer
    x = 1,264.19

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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.