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Finding the Fourth Proportional to 2,433.06, 3,649.22 and 789.74

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Solution

The fourth proportional to 2,433.06, 3,649.22 and 789.74 is: 1,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.06 : 3,649.22 = 789.74 : x
  2. Step 2: Convert to fraction form
    2,433.06/3,649.22 = 789.74/x
  3. Step 3: Cross multiply
    2,433.06x = 3,649.22 × 789.74
  4. Step 4: Simplify right side
    2,433.06x = 2,881,935.00
  5. Step 5: Solve for x
    x = 2,881,935.00/2,433.06
  6. Step 6: Final answer
    x = 1,184.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.