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Finding the Fourth Proportional to 2,046.46, 2,824.04 and 1,207.20

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Solution

The fourth proportional to 2,046.46, 2,824.04 and 1,207.20 is: 1,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.46 : 2,824.04 = 1,207.20 : x
  2. Step 2: Convert to fraction form
    2,046.46/2,824.04 = 1,207.20/x
  3. Step 3: Cross multiply
    2,046.46x = 2,824.04 × 1,207.20
  4. Step 4: Simplify right side
    2,046.46x = 3,409,181.09
  5. Step 5: Solve for x
    x = 3,409,181.09/2,046.46
  6. Step 6: Final answer
    x = 1,665.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.