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Finding the Fourth Proportional to 1,348.34, 2,022.50 and 374.44

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Solution

The fourth proportional to 1,348.34, 2,022.50 and 374.44 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.34 : 2,022.50 = 374.44 : x
  2. Step 2: Convert to fraction form
    1,348.34/2,022.50 = 374.44/x
  3. Step 3: Cross multiply
    1,348.34x = 2,022.50 × 374.44
  4. Step 4: Simplify right side
    1,348.34x = 757,304.90
  5. Step 5: Solve for x
    x = 757,304.90/1,348.34
  6. Step 6: Final answer
    x = 561.66

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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.