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Finding the Fourth Proportional to 1,667.46, 2,501.12 and 418.05

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Solution

The fourth proportional to 1,667.46, 2,501.12 and 418.05 is: 627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.46 : 2,501.12 = 418.05 : x
  2. Step 2: Convert to fraction form
    1,667.46/2,501.12 = 418.05/x
  3. Step 3: Cross multiply
    1,667.46x = 2,501.12 × 418.05
  4. Step 4: Simplify right side
    1,667.46x = 1,045,593.22
  5. Step 5: Solve for x
    x = 1,045,593.22/1,667.46
  6. Step 6: Final answer
    x = 627.06

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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.