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Finding the Fourth Proportional to 2,730.34, 3,767.28 and 1,889.71

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Solution

The fourth proportional to 2,730.34, 3,767.28 and 1,889.71 is: 2,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.34 : 3,767.28 = 1,889.71 : x
  2. Step 2: Convert to fraction form
    2,730.34/3,767.28 = 1,889.71/x
  3. Step 3: Cross multiply
    2,730.34x = 3,767.28 × 1,889.71
  4. Step 4: Simplify right side
    2,730.34x = 7,119,066.69
  5. Step 5: Solve for x
    x = 7,119,066.69/2,730.34
  6. Step 6: Final answer
    x = 2,607.39

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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.