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Finding the Fourth Proportional to 2,003.32, 3,006.06 and 1,031.32

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Solution

The fourth proportional to 2,003.32, 3,006.06 and 1,031.32 is: 1,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.32 : 3,006.06 = 1,031.32 : x
  2. Step 2: Convert to fraction form
    2,003.32/3,006.06 = 1,031.32/x
  3. Step 3: Cross multiply
    2,003.32x = 3,006.06 × 1,031.32
  4. Step 4: Simplify right side
    2,003.32x = 3,100,209.80
  5. Step 5: Solve for x
    x = 3,100,209.80/2,003.32
  6. Step 6: Final answer
    x = 1,547.54

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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.