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Finding the Fourth Proportional to 2,866.03, 3,954.25 and 1,856.14

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Solution

The fourth proportional to 2,866.03, 3,954.25 and 1,856.14 is: 2,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.03 : 3,954.25 = 1,856.14 : x
  2. Step 2: Convert to fraction form
    2,866.03/3,954.25 = 1,856.14/x
  3. Step 3: Cross multiply
    2,866.03x = 3,954.25 × 1,856.14
  4. Step 4: Simplify right side
    2,866.03x = 7,339,641.60
  5. Step 5: Solve for x
    x = 7,339,641.60/2,866.03
  6. Step 6: Final answer
    x = 2,560.91

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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.