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Finding the Fourth Proportional to 1,402.29, 2,099.33 and 984.39

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Solution

The fourth proportional to 1,402.29, 2,099.33 and 984.39 is: 1,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.29 : 2,099.33 = 984.39 : x
  2. Step 2: Convert to fraction form
    1,402.29/2,099.33 = 984.39/x
  3. Step 3: Cross multiply
    1,402.29x = 2,099.33 × 984.39
  4. Step 4: Simplify right side
    1,402.29x = 2,066,550.36
  5. Step 5: Solve for x
    x = 2,066,550.36/1,402.29
  6. Step 6: Final answer
    x = 1,473.70

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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.