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Finding the Fourth Proportional to 2,118.57, 2,920.76 and 1,786.42

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Solution

The fourth proportional to 2,118.57, 2,920.76 and 1,786.42 is: 2,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.57 : 2,920.76 = 1,786.42 : x
  2. Step 2: Convert to fraction form
    2,118.57/2,920.76 = 1,786.42/x
  3. Step 3: Cross multiply
    2,118.57x = 2,920.76 × 1,786.42
  4. Step 4: Simplify right side
    2,118.57x = 5,217,705.50
  5. Step 5: Solve for x
    x = 5,217,705.50/2,118.57
  6. Step 6: Final answer
    x = 2,462.84

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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.