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Finding the Fourth Proportional to 2,322.47, 3,487.35 and 1,837.67

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Solution

The fourth proportional to 2,322.47, 3,487.35 and 1,837.67 is: 2,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.47 : 3,487.35 = 1,837.67 : x
  2. Step 2: Convert to fraction form
    2,322.47/3,487.35 = 1,837.67/x
  3. Step 3: Cross multiply
    2,322.47x = 3,487.35 × 1,837.67
  4. Step 4: Simplify right side
    2,322.47x = 6,408,598.47
  5. Step 5: Solve for x
    x = 6,408,598.47/2,322.47
  6. Step 6: Final answer
    x = 2,759.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.