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Finding the Fourth Proportional to 2,323.53, 3,484.99 and 861.58

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Solution

The fourth proportional to 2,323.53, 3,484.99 and 861.58 is: 1,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.53 : 3,484.99 = 861.58 : x
  2. Step 2: Convert to fraction form
    2,323.53/3,484.99 = 861.58/x
  3. Step 3: Cross multiply
    2,323.53x = 3,484.99 × 861.58
  4. Step 4: Simplify right side
    2,323.53x = 3,002,597.68
  5. Step 5: Solve for x
    x = 3,002,597.68/2,323.53
  6. Step 6: Final answer
    x = 1,292.26

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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.