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Finding the Fourth Proportional to 2,402.48, 3,315.42 and 1,340.21

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Solution

The fourth proportional to 2,402.48, 3,315.42 and 1,340.21 is: 1,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.48 : 3,315.42 = 1,340.21 : x
  2. Step 2: Convert to fraction form
    2,402.48/3,315.42 = 1,340.21/x
  3. Step 3: Cross multiply
    2,402.48x = 3,315.42 × 1,340.21
  4. Step 4: Simplify right side
    2,402.48x = 4,443,359.04
  5. Step 5: Solve for x
    x = 4,443,359.04/2,402.48
  6. Step 6: Final answer
    x = 1,849.49

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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.