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Finding the Fourth Proportional to 2,000.19, 2,760.17 and 1,116.08

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Solution

The fourth proportional to 2,000.19, 2,760.17 and 1,116.08 is: 1,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.19 : 2,760.17 = 1,116.08 : x
  2. Step 2: Convert to fraction form
    2,000.19/2,760.17 = 1,116.08/x
  3. Step 3: Cross multiply
    2,000.19x = 2,760.17 × 1,116.08
  4. Step 4: Simplify right side
    2,000.19x = 3,080,551.15
  5. Step 5: Solve for x
    x = 3,080,551.15/2,000.19
  6. Step 6: Final answer
    x = 1,540.13

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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.