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Finding the Fourth Proportional to 2,323.89, 3,484.20 and 1,152.47

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Solution

The fourth proportional to 2,323.89, 3,484.20 and 1,152.47 is: 1,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.89 : 3,484.20 = 1,152.47 : x
  2. Step 2: Convert to fraction form
    2,323.89/3,484.20 = 1,152.47/x
  3. Step 3: Cross multiply
    2,323.89x = 3,484.20 × 1,152.47
  4. Step 4: Simplify right side
    2,323.89x = 4,015,418.55
  5. Step 5: Solve for x
    x = 4,015,418.55/2,323.89
  6. Step 6: Final answer
    x = 1,727.89

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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.