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Finding the Fourth Proportional to 2,005.80, 3,008.70 and 1,031.28

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Solution

The fourth proportional to 2,005.80, 3,008.70 and 1,031.28 is: 1,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.80 : 3,008.70 = 1,031.28 : x
  2. Step 2: Convert to fraction form
    2,005.80/3,008.70 = 1,031.28/x
  3. Step 3: Cross multiply
    2,005.80x = 3,008.70 × 1,031.28
  4. Step 4: Simplify right side
    2,005.80x = 3,102,812.14
  5. Step 5: Solve for x
    x = 3,102,812.14/2,005.80
  6. Step 6: Final answer
    x = 1,546.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.