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Finding the Fourth Proportional to 2,273.76, 3,407.20 and 1,658.72

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Solution

The fourth proportional to 2,273.76, 3,407.20 and 1,658.72 is: 2,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.76 : 3,407.20 = 1,658.72 : x
  2. Step 2: Convert to fraction form
    2,273.76/3,407.20 = 1,658.72/x
  3. Step 3: Cross multiply
    2,273.76x = 3,407.20 × 1,658.72
  4. Step 4: Simplify right side
    2,273.76x = 5,651,590.78
  5. Step 5: Solve for x
    x = 5,651,590.78/2,273.76
  6. Step 6: Final answer
    x = 2,485.57

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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.