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Finding the Fourth Proportional to 3,019.71, 4,531.46 and 1,288.34

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Solution

The fourth proportional to 3,019.71, 4,531.46 and 1,288.34 is: 1,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.71 : 4,531.46 = 1,288.34 : x
  2. Step 2: Convert to fraction form
    3,019.71/4,531.46 = 1,288.34/x
  3. Step 3: Cross multiply
    3,019.71x = 4,531.46 × 1,288.34
  4. Step 4: Simplify right side
    3,019.71x = 5,838,032.08
  5. Step 5: Solve for x
    x = 5,838,032.08/3,019.71
  6. Step 6: Final answer
    x = 1,933.31

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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.