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Finding the Fourth Proportional to 2,031.04, 2,802 and 1,244.80

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Solution

The fourth proportional to 2,031.04, 2,802 and 1,244.80 is: 1,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.04 : 2,802 = 1,244.80 : x
  2. Step 2: Convert to fraction form
    2,031.04/2,802 = 1,244.80/x
  3. Step 3: Cross multiply
    2,031.04x = 2,802 × 1,244.80
  4. Step 4: Simplify right side
    2,031.04x = 3,487,929.60
  5. Step 5: Solve for x
    x = 3,487,929.60/2,031.04
  6. Step 6: Final answer
    x = 1,717.31

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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.