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Finding the Fourth Proportional to 2,222.71, 3,332.90 and 662.50

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Solution

The fourth proportional to 2,222.71, 3,332.90 and 662.50 is: 993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.71 : 3,332.90 = 662.50 : x
  2. Step 2: Convert to fraction form
    2,222.71/3,332.90 = 662.50/x
  3. Step 3: Cross multiply
    2,222.71x = 3,332.90 × 662.50
  4. Step 4: Simplify right side
    2,222.71x = 2,208,046.25
  5. Step 5: Solve for x
    x = 2,208,046.25/2,222.71
  6. Step 6: Final answer
    x = 993.40

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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.