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Finding the Fourth Proportional to 1,297.04, 1,934.40 and 1,103.27

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Solution

The fourth proportional to 1,297.04, 1,934.40 and 1,103.27 is: 1,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.04 : 1,934.40 = 1,103.27 : x
  2. Step 2: Convert to fraction form
    1,297.04/1,934.40 = 1,103.27/x
  3. Step 3: Cross multiply
    1,297.04x = 1,934.40 × 1,103.27
  4. Step 4: Simplify right side
    1,297.04x = 2,134,159.97
  5. Step 5: Solve for x
    x = 2,134,159.97/1,297.04
  6. Step 6: Final answer
    x = 1,645.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.