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Finding the Fourth Proportional to 2,158.90, 3,238.56 and 860.06

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Solution

The fourth proportional to 2,158.90, 3,238.56 and 860.06 is: 1,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.90 : 3,238.56 = 860.06 : x
  2. Step 2: Convert to fraction form
    2,158.90/3,238.56 = 860.06/x
  3. Step 3: Cross multiply
    2,158.90x = 3,238.56 × 860.06
  4. Step 4: Simplify right side
    2,158.90x = 2,785,364.01
  5. Step 5: Solve for x
    x = 2,785,364.01/2,158.90
  6. Step 6: Final answer
    x = 1,290.18

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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.