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Finding the Fourth Proportional to 2,074.71, 3,110.03 and 1,148.31

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Solution

The fourth proportional to 2,074.71, 3,110.03 and 1,148.31 is: 1,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.71 : 3,110.03 = 1,148.31 : x
  2. Step 2: Convert to fraction form
    2,074.71/3,110.03 = 1,148.31/x
  3. Step 3: Cross multiply
    2,074.71x = 3,110.03 × 1,148.31
  4. Step 4: Simplify right side
    2,074.71x = 3,571,277.11
  5. Step 5: Solve for x
    x = 3,571,277.11/2,074.71
  6. Step 6: Final answer
    x = 1,721.33

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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.