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Finding the Fourth Proportional to 2,503.82, 3,454.82 and 1,607.74

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Solution

The fourth proportional to 2,503.82, 3,454.82 and 1,607.74 is: 2,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.82 : 3,454.82 = 1,607.74 : x
  2. Step 2: Convert to fraction form
    2,503.82/3,454.82 = 1,607.74/x
  3. Step 3: Cross multiply
    2,503.82x = 3,454.82 × 1,607.74
  4. Step 4: Simplify right side
    2,503.82x = 5,554,452.31
  5. Step 5: Solve for x
    x = 5,554,452.31/2,503.82
  6. Step 6: Final answer
    x = 2,218.39

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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.