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Finding the Fourth Proportional to 2,294.79, 3,166.08 and 1,586.67

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Solution

The fourth proportional to 2,294.79, 3,166.08 and 1,586.67 is: 2,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.79 : 3,166.08 = 1,586.67 : x
  2. Step 2: Convert to fraction form
    2,294.79/3,166.08 = 1,586.67/x
  3. Step 3: Cross multiply
    2,294.79x = 3,166.08 × 1,586.67
  4. Step 4: Simplify right side
    2,294.79x = 5,023,524.15
  5. Step 5: Solve for x
    x = 5,023,524.15/2,294.79
  6. Step 6: Final answer
    x = 2,189.10

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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.