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Finding the Fourth Proportional to 2,524.37, 3,483 and 1,729.35

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Solution

The fourth proportional to 2,524.37, 3,483 and 1,729.35 is: 2,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.37 : 3,483 = 1,729.35 : x
  2. Step 2: Convert to fraction form
    2,524.37/3,483 = 1,729.35/x
  3. Step 3: Cross multiply
    2,524.37x = 3,483 × 1,729.35
  4. Step 4: Simplify right side
    2,524.37x = 6,023,326.05
  5. Step 5: Solve for x
    x = 6,023,326.05/2,524.37
  6. Step 6: Final answer
    x = 2,386.08

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