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Finding the Fourth Proportional to 2,433.58, 3,648.20 and 894.22

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Solution

The fourth proportional to 2,433.58, 3,648.20 and 894.22 is: 1,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.58 : 3,648.20 = 894.22 : x
  2. Step 2: Convert to fraction form
    2,433.58/3,648.20 = 894.22/x
  3. Step 3: Cross multiply
    2,433.58x = 3,648.20 × 894.22
  4. Step 4: Simplify right side
    2,433.58x = 3,262,293.40
  5. Step 5: Solve for x
    x = 3,262,293.40/2,433.58
  6. Step 6: Final answer
    x = 1,340.53

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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.