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Finding the Fourth Proportional to 2,866.90, 3,956.44 and 1,858.83

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Solution

The fourth proportional to 2,866.90, 3,956.44 and 1,858.83 is: 2,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.90 : 3,956.44 = 1,858.83 : x
  2. Step 2: Convert to fraction form
    2,866.90/3,956.44 = 1,858.83/x
  3. Step 3: Cross multiply
    2,866.90x = 3,956.44 × 1,858.83
  4. Step 4: Simplify right side
    2,866.90x = 7,354,340.07
  5. Step 5: Solve for x
    x = 7,354,340.07/2,866.90
  6. Step 6: Final answer
    x = 2,565.26

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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.