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Finding the Fourth Proportional to 2,053.56, 3,061.86 and 2,016.63

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Solution

The fourth proportional to 2,053.56, 3,061.86 and 2,016.63 is: 3,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.56 : 3,061.86 = 2,016.63 : x
  2. Step 2: Convert to fraction form
    2,053.56/3,061.86 = 2,016.63/x
  3. Step 3: Cross multiply
    2,053.56x = 3,061.86 × 2,016.63
  4. Step 4: Simplify right side
    2,053.56x = 6,174,638.73
  5. Step 5: Solve for x
    x = 6,174,638.73/2,053.56
  6. Step 6: Final answer
    x = 3,006.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.