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Finding the Fourth Proportional to 2,118.96, 2,924.19 and 1,174.77

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Solution

The fourth proportional to 2,118.96, 2,924.19 and 1,174.77 is: 1,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.96 : 2,924.19 = 1,174.77 : x
  2. Step 2: Convert to fraction form
    2,118.96/2,924.19 = 1,174.77/x
  3. Step 3: Cross multiply
    2,118.96x = 2,924.19 × 1,174.77
  4. Step 4: Simplify right side
    2,118.96x = 3,435,250.69
  5. Step 5: Solve for x
    x = 3,435,250.69/2,118.96
  6. Step 6: Final answer
    x = 1,621.20

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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.