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Finding the Fourth Proportional to 2,333.22, 3,499.95 and 601.86

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Solution

The fourth proportional to 2,333.22, 3,499.95 and 601.86 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.22 : 3,499.95 = 601.86 : x
  2. Step 2: Convert to fraction form
    2,333.22/3,499.95 = 601.86/x
  3. Step 3: Cross multiply
    2,333.22x = 3,499.95 × 601.86
  4. Step 4: Simplify right side
    2,333.22x = 2,106,479.91
  5. Step 5: Solve for x
    x = 2,106,479.91/2,333.22
  6. Step 6: Final answer
    x = 902.82

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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.