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Finding the Fourth Proportional to 2,323.69, 3,484.62 and 861.84

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Solution

The fourth proportional to 2,323.69, 3,484.62 and 861.84 is: 1,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.69 : 3,484.62 = 861.84 : x
  2. Step 2: Convert to fraction form
    2,323.69/3,484.62 = 861.84/x
  3. Step 3: Cross multiply
    2,323.69x = 3,484.62 × 861.84
  4. Step 4: Simplify right side
    2,323.69x = 3,003,184.90
  5. Step 5: Solve for x
    x = 3,003,184.90/2,323.69
  6. Step 6: Final answer
    x = 1,292.42

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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.