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Finding the Fourth Proportional to 2,327.60, 3,491.62 and 746.55

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Solution

The fourth proportional to 2,327.60, 3,491.62 and 746.55 is: 1,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.60 : 3,491.62 = 746.55 : x
  2. Step 2: Convert to fraction form
    2,327.60/3,491.62 = 746.55/x
  3. Step 3: Cross multiply
    2,327.60x = 3,491.62 × 746.55
  4. Step 4: Simplify right side
    2,327.60x = 2,606,667.04
  5. Step 5: Solve for x
    x = 2,606,667.04/2,327.60
  6. Step 6: Final answer
    x = 1,119.89

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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.