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Finding the Fourth Proportional to 2,966.68, 4,098.36 and 2,341.36

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Solution

The fourth proportional to 2,966.68, 4,098.36 and 2,341.36 is: 3,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.68 : 4,098.36 = 2,341.36 : x
  2. Step 2: Convert to fraction form
    2,966.68/4,098.36 = 2,341.36/x
  3. Step 3: Cross multiply
    2,966.68x = 4,098.36 × 2,341.36
  4. Step 4: Simplify right side
    2,966.68x = 9,595,736.17
  5. Step 5: Solve for x
    x = 9,595,736.17/2,966.68
  6. Step 6: Final answer
    x = 3,234.50

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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.