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Finding the Fourth Proportional to 2,503.49, 3,454.67 and 1,384.38

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Solution

The fourth proportional to 2,503.49, 3,454.67 and 1,384.38 is: 1,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.49 : 3,454.67 = 1,384.38 : x
  2. Step 2: Convert to fraction form
    2,503.49/3,454.67 = 1,384.38/x
  3. Step 3: Cross multiply
    2,503.49x = 3,454.67 × 1,384.38
  4. Step 4: Simplify right side
    2,503.49x = 4,782,569.13
  5. Step 5: Solve for x
    x = 4,782,569.13/2,503.49
  6. Step 6: Final answer
    x = 1,910.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.