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Finding the Fourth Proportional to 2,319.90, 3,201.54 and 1,658.33

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Solution

The fourth proportional to 2,319.90, 3,201.54 and 1,658.33 is: 2,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.90 : 3,201.54 = 1,658.33 : x
  2. Step 2: Convert to fraction form
    2,319.90/3,201.54 = 1,658.33/x
  3. Step 3: Cross multiply
    2,319.90x = 3,201.54 × 1,658.33
  4. Step 4: Simplify right side
    2,319.90x = 5,309,199.61
  5. Step 5: Solve for x
    x = 5,309,199.61/2,319.90
  6. Step 6: Final answer
    x = 2,288.55

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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.