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Finding the Fourth Proportional to 1,277.08, 1,910.04 and 1,102.12

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Solution

The fourth proportional to 1,277.08, 1,910.04 and 1,102.12 is: 1,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.08 : 1,910.04 = 1,102.12 : x
  2. Step 2: Convert to fraction form
    1,277.08/1,910.04 = 1,102.12/x
  3. Step 3: Cross multiply
    1,277.08x = 1,910.04 × 1,102.12
  4. Step 4: Simplify right side
    1,277.08x = 2,105,093.28
  5. Step 5: Solve for x
    x = 2,105,093.28/1,277.08
  6. Step 6: Final answer
    x = 1,648.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.