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Finding the Fourth Proportional to 2,433.04, 3,649.10 and 789.60

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Solution

The fourth proportional to 2,433.04, 3,649.10 and 789.60 is: 1,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.04 : 3,649.10 = 789.60 : x
  2. Step 2: Convert to fraction form
    2,433.04/3,649.10 = 789.60/x
  3. Step 3: Cross multiply
    2,433.04x = 3,649.10 × 789.60
  4. Step 4: Simplify right side
    2,433.04x = 2,881,323.01
  5. Step 5: Solve for x
    x = 2,881,323.01/2,433.04
  6. Step 6: Final answer
    x = 1,184.25

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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.