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Finding the Fourth Proportional to 2,321.91, 3,484.35 and 860.94

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Solution

The fourth proportional to 2,321.91, 3,484.35 and 860.94 is: 1,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.91 : 3,484.35 = 860.94 : x
  2. Step 2: Convert to fraction form
    2,321.91/3,484.35 = 860.94/x
  3. Step 3: Cross multiply
    2,321.91x = 3,484.35 × 860.94
  4. Step 4: Simplify right side
    2,321.91x = 2,999,816.29
  5. Step 5: Solve for x
    x = 2,999,816.29/2,321.91
  6. Step 6: Final answer
    x = 1,291.96

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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.