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Finding the Fourth Proportional to 2,376.29, 3,564.44 and 1,078.67

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Solution

The fourth proportional to 2,376.29, 3,564.44 and 1,078.67 is: 1,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.29 : 3,564.44 = 1,078.67 : x
  2. Step 2: Convert to fraction form
    2,376.29/3,564.44 = 1,078.67/x
  3. Step 3: Cross multiply
    2,376.29x = 3,564.44 × 1,078.67
  4. Step 4: Simplify right side
    2,376.29x = 3,844,854.49
  5. Step 5: Solve for x
    x = 3,844,854.49/2,376.29
  6. Step 6: Final answer
    x = 1,618.01

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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.