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Finding the Fourth Proportional to 1,429.83, 1,974.12 and 1,097.67

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Solution

The fourth proportional to 1,429.83, 1,974.12 and 1,097.67 is: 1,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.83 : 1,974.12 = 1,097.67 : x
  2. Step 2: Convert to fraction form
    1,429.83/1,974.12 = 1,097.67/x
  3. Step 3: Cross multiply
    1,429.83x = 1,974.12 × 1,097.67
  4. Step 4: Simplify right side
    1,429.83x = 2,166,932.30
  5. Step 5: Solve for x
    x = 2,166,932.30/1,429.83
  6. Step 6: Final answer
    x = 1,515.52

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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.