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Finding the Fourth Proportional to 3,178.87, 4,386.42 and 1,762.38

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Solution

The fourth proportional to 3,178.87, 4,386.42 and 1,762.38 is: 2,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.87 : 4,386.42 = 1,762.38 : x
  2. Step 2: Convert to fraction form
    3,178.87/4,386.42 = 1,762.38/x
  3. Step 3: Cross multiply
    3,178.87x = 4,386.42 × 1,762.38
  4. Step 4: Simplify right side
    3,178.87x = 7,730,538.88
  5. Step 5: Solve for x
    x = 7,730,538.88/3,178.87
  6. Step 6: Final answer
    x = 2,431.85

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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.