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Finding the Fourth Proportional to 1,429.66, 1,974.03 and 1,097.56

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Solution

The fourth proportional to 1,429.66, 1,974.03 and 1,097.56 is: 1,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.66 : 1,974.03 = 1,097.56 : x
  2. Step 2: Convert to fraction form
    1,429.66/1,974.03 = 1,097.56/x
  3. Step 3: Cross multiply
    1,429.66x = 1,974.03 × 1,097.56
  4. Step 4: Simplify right side
    1,429.66x = 2,166,616.37
  5. Step 5: Solve for x
    x = 2,166,616.37/1,429.66
  6. Step 6: Final answer
    x = 1,515.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.