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Finding the Fourth Proportional to 1,468.80, 2,207.50 and 1,223.57

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Solution

The fourth proportional to 1,468.80, 2,207.50 and 1,223.57 is: 1,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.80 : 2,207.50 = 1,223.57 : x
  2. Step 2: Convert to fraction form
    1,468.80/2,207.50 = 1,223.57/x
  3. Step 3: Cross multiply
    1,468.80x = 2,207.50 × 1,223.57
  4. Step 4: Simplify right side
    1,468.80x = 2,701,033.23
  5. Step 5: Solve for x
    x = 2,701,033.23/1,468.80
  6. Step 6: Final answer
    x = 1,838.94

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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.