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Finding the Fourth Proportional to 3,154.77, 4,724.19 and 2,333.70

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Solution

The fourth proportional to 3,154.77, 4,724.19 and 2,333.70 is: 3,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.77 : 4,724.19 = 2,333.70 : x
  2. Step 2: Convert to fraction form
    3,154.77/4,724.19 = 2,333.70/x
  3. Step 3: Cross multiply
    3,154.77x = 4,724.19 × 2,333.70
  4. Step 4: Simplify right side
    3,154.77x = 11,024,842.20
  5. Step 5: Solve for x
    x = 11,024,842.20/3,154.77
  6. Step 6: Final answer
    x = 3,494.66

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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.