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Finding the Fourth Proportional to 1,469.83, 2,204.72 and 374.19

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Solution

The fourth proportional to 1,469.83, 2,204.72 and 374.19 is: 561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.83 : 2,204.72 = 374.19 : x
  2. Step 2: Convert to fraction form
    1,469.83/2,204.72 = 374.19/x
  3. Step 3: Cross multiply
    1,469.83x = 2,204.72 × 374.19
  4. Step 4: Simplify right side
    1,469.83x = 824,984.18
  5. Step 5: Solve for x
    x = 824,984.18/1,469.83
  6. Step 6: Final answer
    x = 561.28

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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.