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Finding the Fourth Proportional to 2,328.39, 3,493.80 and 2,193.93

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Solution

The fourth proportional to 2,328.39, 3,493.80 and 2,193.93 is: 3,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.39 : 3,493.80 = 2,193.93 : x
  2. Step 2: Convert to fraction form
    2,328.39/3,493.80 = 2,193.93/x
  3. Step 3: Cross multiply
    2,328.39x = 3,493.80 × 2,193.93
  4. Step 4: Simplify right side
    2,328.39x = 7,665,152.63
  5. Step 5: Solve for x
    x = 7,665,152.63/2,328.39
  6. Step 6: Final answer
    x = 3,292.04

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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.