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Finding the Fourth Proportional to 2,031.03, 2,802.80 and 1,191.57

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Solution

The fourth proportional to 2,031.03, 2,802.80 and 1,191.57 is: 1,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.03 : 2,802.80 = 1,191.57 : x
  2. Step 2: Convert to fraction form
    2,031.03/2,802.80 = 1,191.57/x
  3. Step 3: Cross multiply
    2,031.03x = 2,802.80 × 1,191.57
  4. Step 4: Simplify right side
    2,031.03x = 3,339,735.37
  5. Step 5: Solve for x
    x = 3,339,735.37/2,031.03
  6. Step 6: Final answer
    x = 1,644.36

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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.