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Finding the Fourth Proportional to 2,105.90, 2,907.31 and 1,266.81

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Solution

The fourth proportional to 2,105.90, 2,907.31 and 1,266.81 is: 1,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.90 : 2,907.31 = 1,266.81 : x
  2. Step 2: Convert to fraction form
    2,105.90/2,907.31 = 1,266.81/x
  3. Step 3: Cross multiply
    2,105.90x = 2,907.31 × 1,266.81
  4. Step 4: Simplify right side
    2,105.90x = 3,683,009.38
  5. Step 5: Solve for x
    x = 3,683,009.38/2,105.90
  6. Step 6: Final answer
    x = 1,748.90

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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.