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Finding the Fourth Proportional to 2,026.53, 3,047.04 and 1,866.15

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Solution

The fourth proportional to 2,026.53, 3,047.04 and 1,866.15 is: 2,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.53 : 3,047.04 = 1,866.15 : x
  2. Step 2: Convert to fraction form
    2,026.53/3,047.04 = 1,866.15/x
  3. Step 3: Cross multiply
    2,026.53x = 3,047.04 × 1,866.15
  4. Step 4: Simplify right side
    2,026.53x = 5,686,233.70
  5. Step 5: Solve for x
    x = 5,686,233.70/2,026.53
  6. Step 6: Final answer
    x = 2,805.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.