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Finding the Fourth Proportional to 2,323.16, 3,202.80 and 1,658.86

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Solution

The fourth proportional to 2,323.16, 3,202.80 and 1,658.86 is: 2,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.16 : 3,202.80 = 1,658.86 : x
  2. Step 2: Convert to fraction form
    2,323.16/3,202.80 = 1,658.86/x
  3. Step 3: Cross multiply
    2,323.16x = 3,202.80 × 1,658.86
  4. Step 4: Simplify right side
    2,323.16x = 5,312,972.50
  5. Step 5: Solve for x
    x = 5,312,972.50/2,323.16
  6. Step 6: Final answer
    x = 2,286.96

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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.