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Finding the Fourth Proportional to 3,097.71, 4,636.85 and 1,632.42

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Solution

The fourth proportional to 3,097.71, 4,636.85 and 1,632.42 is: 2,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.71 : 4,636.85 = 1,632.42 : x
  2. Step 2: Convert to fraction form
    3,097.71/4,636.85 = 1,632.42/x
  3. Step 3: Cross multiply
    3,097.71x = 4,636.85 × 1,632.42
  4. Step 4: Simplify right side
    3,097.71x = 7,569,278.51
  5. Step 5: Solve for x
    x = 7,569,278.51/3,097.71
  6. Step 6: Final answer
    x = 2,443.51

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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.