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Finding the Fourth Proportional to 2,283.96, 3,148.97 and 1,536.33

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Solution

The fourth proportional to 2,283.96, 3,148.97 and 1,536.33 is: 2,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.96 : 3,148.97 = 1,536.33 : x
  2. Step 2: Convert to fraction form
    2,283.96/3,148.97 = 1,536.33/x
  3. Step 3: Cross multiply
    2,283.96x = 3,148.97 × 1,536.33
  4. Step 4: Simplify right side
    2,283.96x = 4,837,849.40
  5. Step 5: Solve for x
    x = 4,837,849.40/2,283.96
  6. Step 6: Final answer
    x = 2,118.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.