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Finding the Fourth Proportional to 2,670.17, 4,007.01 and 938.75

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Solution

The fourth proportional to 2,670.17, 4,007.01 and 938.75 is: 1,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.17 : 4,007.01 = 938.75 : x
  2. Step 2: Convert to fraction form
    2,670.17/4,007.01 = 938.75/x
  3. Step 3: Cross multiply
    2,670.17x = 4,007.01 × 938.75
  4. Step 4: Simplify right side
    2,670.17x = 3,761,580.64
  5. Step 5: Solve for x
    x = 3,761,580.64/2,670.17
  6. Step 6: Final answer
    x = 1,408.74

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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.