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Finding the Fourth Proportional to 2,798.48, 4,194.24 and 2,451

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Solution

The fourth proportional to 2,798.48, 4,194.24 and 2,451 is: 3,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.48 : 4,194.24 = 2,451 : x
  2. Step 2: Convert to fraction form
    2,798.48/4,194.24 = 2,451/x
  3. Step 3: Cross multiply
    2,798.48x = 4,194.24 × 2,451
  4. Step 4: Simplify right side
    2,798.48x = 10,280,082.24
  5. Step 5: Solve for x
    x = 10,280,082.24/2,798.48
  6. Step 6: Final answer
    x = 3,673.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.