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Finding the Fourth Proportional to 2,029.62, 2,802.15 and 1,244.46

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Solution

The fourth proportional to 2,029.62, 2,802.15 and 1,244.46 is: 1,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.62 : 2,802.15 = 1,244.46 : x
  2. Step 2: Convert to fraction form
    2,029.62/2,802.15 = 1,244.46/x
  3. Step 3: Cross multiply
    2,029.62x = 2,802.15 × 1,244.46
  4. Step 4: Simplify right side
    2,029.62x = 3,487,163.59
  5. Step 5: Solve for x
    x = 3,487,163.59/2,029.62
  6. Step 6: Final answer
    x = 1,718.14

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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.