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Finding the Fourth Proportional to 1,499.78, 2,066.42 and 1,120.09

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Solution

The fourth proportional to 1,499.78, 2,066.42 and 1,120.09 is: 1,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.78 : 2,066.42 = 1,120.09 : x
  2. Step 2: Convert to fraction form
    1,499.78/2,066.42 = 1,120.09/x
  3. Step 3: Cross multiply
    1,499.78x = 2,066.42 × 1,120.09
  4. Step 4: Simplify right side
    1,499.78x = 2,314,576.38
  5. Step 5: Solve for x
    x = 2,314,576.38/1,499.78
  6. Step 6: Final answer
    x = 1,543.28

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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.