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Finding the Fourth Proportional to 1,531.69, 2,298.56 and 984.27

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Solution

The fourth proportional to 1,531.69, 2,298.56 and 984.27 is: 1,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.69 : 2,298.56 = 984.27 : x
  2. Step 2: Convert to fraction form
    1,531.69/2,298.56 = 984.27/x
  3. Step 3: Cross multiply
    1,531.69x = 2,298.56 × 984.27
  4. Step 4: Simplify right side
    1,531.69x = 2,262,399.96
  5. Step 5: Solve for x
    x = 2,262,399.96/1,531.69
  6. Step 6: Final answer
    x = 1,477.06

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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.