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Finding the Fourth Proportional to 1,223.10, 1,834.78 and 357.41

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Solution

The fourth proportional to 1,223.10, 1,834.78 and 357.41 is: 536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.10 : 1,834.78 = 357.41 : x
  2. Step 2: Convert to fraction form
    1,223.10/1,834.78 = 357.41/x
  3. Step 3: Cross multiply
    1,223.10x = 1,834.78 × 357.41
  4. Step 4: Simplify right side
    1,223.10x = 655,768.72
  5. Step 5: Solve for x
    x = 655,768.72/1,223.10
  6. Step 6: Final answer
    x = 536.15

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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.