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Finding the Fourth Proportional to 2,318.69, 3,478.95 and 1,019.25

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Solution

The fourth proportional to 2,318.69, 3,478.95 and 1,019.25 is: 1,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.69 : 3,478.95 = 1,019.25 : x
  2. Step 2: Convert to fraction form
    2,318.69/3,478.95 = 1,019.25/x
  3. Step 3: Cross multiply
    2,318.69x = 3,478.95 × 1,019.25
  4. Step 4: Simplify right side
    2,318.69x = 3,545,919.79
  5. Step 5: Solve for x
    x = 3,545,919.79/2,318.69
  6. Step 6: Final answer
    x = 1,529.28

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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.