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Finding the Fourth Proportional to 2,159.42, 3,239.12 and 860.86

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Solution

The fourth proportional to 2,159.42, 3,239.12 and 860.86 is: 1,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.42 : 3,239.12 = 860.86 : x
  2. Step 2: Convert to fraction form
    2,159.42/3,239.12 = 860.86/x
  3. Step 3: Cross multiply
    2,159.42x = 3,239.12 × 860.86
  4. Step 4: Simplify right side
    2,159.42x = 2,788,428.84
  5. Step 5: Solve for x
    x = 2,788,428.84/2,159.42
  6. Step 6: Final answer
    x = 1,291.29

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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.