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Finding the Fourth Proportional to 2,323.78, 3,486.80 and 1,153.90

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Solution

The fourth proportional to 2,323.78, 3,486.80 and 1,153.90 is: 1,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.78 : 3,486.80 = 1,153.90 : x
  2. Step 2: Convert to fraction form
    2,323.78/3,486.80 = 1,153.90/x
  3. Step 3: Cross multiply
    2,323.78x = 3,486.80 × 1,153.90
  4. Step 4: Simplify right side
    2,323.78x = 4,023,418.52
  5. Step 5: Solve for x
    x = 4,023,418.52/2,323.78
  6. Step 6: Final answer
    x = 1,731.41

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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.