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Finding the Fourth Proportional to 2,433.83, 3,648.58 and 894.47

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Solution

The fourth proportional to 2,433.83, 3,648.58 and 894.47 is: 1,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.83 : 3,648.58 = 894.47 : x
  2. Step 2: Convert to fraction form
    2,433.83/3,648.58 = 894.47/x
  3. Step 3: Cross multiply
    2,433.83x = 3,648.58 × 894.47
  4. Step 4: Simplify right side
    2,433.83x = 3,263,545.35
  5. Step 5: Solve for x
    x = 3,263,545.35/2,433.83
  6. Step 6: Final answer
    x = 1,340.91

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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.