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Finding the Fourth Proportional to 1,667.71, 2,501.91 and 627.67

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Solution

The fourth proportional to 1,667.71, 2,501.91 and 627.67 is: 941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.71 : 2,501.91 = 627.67 : x
  2. Step 2: Convert to fraction form
    1,667.71/2,501.91 = 627.67/x
  3. Step 3: Cross multiply
    1,667.71x = 2,501.91 × 627.67
  4. Step 4: Simplify right side
    1,667.71x = 1,570,373.85
  5. Step 5: Solve for x
    x = 1,570,373.85/1,667.71
  6. Step 6: Final answer
    x = 941.63

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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.