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Finding the Fourth Proportional to 2,537.39, 3,503.05 and 1,699.52

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Solution

The fourth proportional to 2,537.39, 3,503.05 and 1,699.52 is: 2,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.39 : 3,503.05 = 1,699.52 : x
  2. Step 2: Convert to fraction form
    2,537.39/3,503.05 = 1,699.52/x
  3. Step 3: Cross multiply
    2,537.39x = 3,503.05 × 1,699.52
  4. Step 4: Simplify right side
    2,537.39x = 5,953,481.77
  5. Step 5: Solve for x
    x = 5,953,481.77/2,537.39
  6. Step 6: Final answer
    x = 2,346.30

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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.