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Finding the Fourth Proportional to 2,391.68, 3,291.54 and 2,023.50

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Solution

The fourth proportional to 2,391.68, 3,291.54 and 2,023.50 is: 2,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.68 : 3,291.54 = 2,023.50 : x
  2. Step 2: Convert to fraction form
    2,391.68/3,291.54 = 2,023.50/x
  3. Step 3: Cross multiply
    2,391.68x = 3,291.54 × 2,023.50
  4. Step 4: Simplify right side
    2,391.68x = 6,660,431.19
  5. Step 5: Solve for x
    x = 6,660,431.19/2,391.68
  6. Step 6: Final answer
    x = 2,784.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.