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Finding the Fourth Proportional to 1,455.78, 2,007.38 and 1,267.59

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Solution

The fourth proportional to 1,455.78, 2,007.38 and 1,267.59 is: 1,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.78 : 2,007.38 = 1,267.59 : x
  2. Step 2: Convert to fraction form
    1,455.78/2,007.38 = 1,267.59/x
  3. Step 3: Cross multiply
    1,455.78x = 2,007.38 × 1,267.59
  4. Step 4: Simplify right side
    1,455.78x = 2,544,534.81
  5. Step 5: Solve for x
    x = 2,544,534.81/1,455.78
  6. Step 6: Final answer
    x = 1,747.88

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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.