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Finding the Fourth Proportional to 4,233.84, 6,350.46 and 1,460.40

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Solution

The fourth proportional to 4,233.84, 6,350.46 and 1,460.40 is: 2,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.84 : 6,350.46 = 1,460.40 : x
  2. Step 2: Convert to fraction form
    4,233.84/6,350.46 = 1,460.40/x
  3. Step 3: Cross multiply
    4,233.84x = 6,350.46 × 1,460.40
  4. Step 4: Simplify right side
    4,233.84x = 9,274,211.78
  5. Step 5: Solve for x
    x = 9,274,211.78/4,233.84
  6. Step 6: Final answer
    x = 2,190.50

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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.