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Finding the Fourth Proportional to 2,016.63, 2,781.10 and 1,307.73

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Solution

The fourth proportional to 2,016.63, 2,781.10 and 1,307.73 is: 1,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.63 : 2,781.10 = 1,307.73 : x
  2. Step 2: Convert to fraction form
    2,016.63/2,781.10 = 1,307.73/x
  3. Step 3: Cross multiply
    2,016.63x = 2,781.10 × 1,307.73
  4. Step 4: Simplify right side
    2,016.63x = 3,636,939.97
  5. Step 5: Solve for x
    x = 3,636,939.97/2,016.63
  6. Step 6: Final answer
    x = 1,803.47

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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.