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Finding the Fourth Proportional to 3,024, 4,173.60 and 1,781.76

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Solution

The fourth proportional to 3,024, 4,173.60 and 1,781.76 is: 2,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 4,173.60 = 1,781.76 : x
  2. Step 2: Convert to fraction form
    3,024/4,173.60 = 1,781.76/x
  3. Step 3: Cross multiply
    3,024x = 4,173.60 × 1,781.76
  4. Step 4: Simplify right side
    3,024x = 7,436,353.54
  5. Step 5: Solve for x
    x = 7,436,353.54/3,024
  6. Step 6: Final answer
    x = 2,459.11

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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.