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Finding the Fourth Proportional to 1,924.07, 2,884.36 and 691.28

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Solution

The fourth proportional to 1,924.07, 2,884.36 and 691.28 is: 1,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.07 : 2,884.36 = 691.28 : x
  2. Step 2: Convert to fraction form
    1,924.07/2,884.36 = 691.28/x
  3. Step 3: Cross multiply
    1,924.07x = 2,884.36 × 691.28
  4. Step 4: Simplify right side
    1,924.07x = 1,993,900.38
  5. Step 5: Solve for x
    x = 1,993,900.38/1,924.07
  6. Step 6: Final answer
    x = 1,036.29

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