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Finding the Fourth Proportional to 2,331.13, 3,496.59 and 944.48

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Solution

The fourth proportional to 2,331.13, 3,496.59 and 944.48 is: 1,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.13 : 3,496.59 = 944.48 : x
  2. Step 2: Convert to fraction form
    2,331.13/3,496.59 = 944.48/x
  3. Step 3: Cross multiply
    2,331.13x = 3,496.59 × 944.48
  4. Step 4: Simplify right side
    2,331.13x = 3,302,445.38
  5. Step 5: Solve for x
    x = 3,302,445.38/2,331.13
  6. Step 6: Final answer
    x = 1,416.67

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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.