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Finding the Fourth Proportional to 2,294.56, 3,166.68 and 2,196.10

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Solution

The fourth proportional to 2,294.56, 3,166.68 and 2,196.10 is: 3,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.56 : 3,166.68 = 2,196.10 : x
  2. Step 2: Convert to fraction form
    2,294.56/3,166.68 = 2,196.10/x
  3. Step 3: Cross multiply
    2,294.56x = 3,166.68 × 2,196.10
  4. Step 4: Simplify right side
    2,294.56x = 6,954,345.95
  5. Step 5: Solve for x
    x = 6,954,345.95/2,294.56
  6. Step 6: Final answer
    x = 3,030.80

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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.