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Finding the Fourth Proportional to 2,402.49, 3,315.32 and 1,340.37

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Solution

The fourth proportional to 2,402.49, 3,315.32 and 1,340.37 is: 1,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.49 : 3,315.32 = 1,340.37 : x
  2. Step 2: Convert to fraction form
    2,402.49/3,315.32 = 1,340.37/x
  3. Step 3: Cross multiply
    2,402.49x = 3,315.32 × 1,340.37
  4. Step 4: Simplify right side
    2,402.49x = 4,443,748.77
  5. Step 5: Solve for x
    x = 4,443,748.77/2,402.49
  6. Step 6: Final answer
    x = 1,849.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.