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Finding the Fourth Proportional to 2,401.65, 3,602.49 and 1,228.32

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Solution

The fourth proportional to 2,401.65, 3,602.49 and 1,228.32 is: 1,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.65 : 3,602.49 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    2,401.65/3,602.49 = 1,228.32/x
  3. Step 3: Cross multiply
    2,401.65x = 3,602.49 × 1,228.32
  4. Step 4: Simplify right side
    2,401.65x = 4,425,010.52
  5. Step 5: Solve for x
    x = 4,425,010.52/2,401.65
  6. Step 6: Final answer
    x = 1,842.49

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Why These Related Problems?

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