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Finding the Fourth Proportional to 2,007.04, 2,772.36 and 1,540.70

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Solution

The fourth proportional to 2,007.04, 2,772.36 and 1,540.70 is: 2,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.04 : 2,772.36 = 1,540.70 : x
  2. Step 2: Convert to fraction form
    2,007.04/2,772.36 = 1,540.70/x
  3. Step 3: Cross multiply
    2,007.04x = 2,772.36 × 1,540.70
  4. Step 4: Simplify right side
    2,007.04x = 4,271,367.35
  5. Step 5: Solve for x
    x = 4,271,367.35/2,007.04
  6. Step 6: Final answer
    x = 2,128.19

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