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Finding the Fourth Proportional to 2,874.76, 3,969.45 and 1,931.38

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Solution

The fourth proportional to 2,874.76, 3,969.45 and 1,931.38 is: 2,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.76 : 3,969.45 = 1,931.38 : x
  2. Step 2: Convert to fraction form
    2,874.76/3,969.45 = 1,931.38/x
  3. Step 3: Cross multiply
    2,874.76x = 3,969.45 × 1,931.38
  4. Step 4: Simplify right side
    2,874.76x = 7,666,506.42
  5. Step 5: Solve for x
    x = 7,666,506.42/2,874.76
  6. Step 6: Final answer
    x = 2,666.84

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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.