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Finding the Fourth Proportional to 4,546.38, 6,821.62 and 2,048.19

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Solution

The fourth proportional to 4,546.38, 6,821.62 and 2,048.19 is: 3,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.38 : 6,821.62 = 2,048.19 : x
  2. Step 2: Convert to fraction form
    4,546.38/6,821.62 = 2,048.19/x
  3. Step 3: Cross multiply
    4,546.38x = 6,821.62 × 2,048.19
  4. Step 4: Simplify right side
    4,546.38x = 13,971,943.17
  5. Step 5: Solve for x
    x = 13,971,943.17/4,546.38
  6. Step 6: Final answer
    x = 3,073.20

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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.