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Finding the Fourth Proportional to 2,118.78, 2,923.63 and 1,174.52

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Solution

The fourth proportional to 2,118.78, 2,923.63 and 1,174.52 is: 1,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.78 : 2,923.63 = 1,174.52 : x
  2. Step 2: Convert to fraction form
    2,118.78/2,923.63 = 1,174.52/x
  3. Step 3: Cross multiply
    2,118.78x = 2,923.63 × 1,174.52
  4. Step 4: Simplify right side
    2,118.78x = 3,433,854.60
  5. Step 5: Solve for x
    x = 3,433,854.60/2,118.78
  6. Step 6: Final answer
    x = 1,620.68

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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.