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Finding the Fourth Proportional to 1,339.06, 2,017.73 and 1,100.92

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Solution

The fourth proportional to 1,339.06, 2,017.73 and 1,100.92 is: 1,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.06 : 2,017.73 = 1,100.92 : x
  2. Step 2: Convert to fraction form
    1,339.06/2,017.73 = 1,100.92/x
  3. Step 3: Cross multiply
    1,339.06x = 2,017.73 × 1,100.92
  4. Step 4: Simplify right side
    1,339.06x = 2,221,351.51
  5. Step 5: Solve for x
    x = 2,221,351.51/1,339.06
  6. Step 6: Final answer
    x = 1,658.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.