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Finding the Fourth Proportional to 2,264.38, 3,396.04 and 877.25

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Solution

The fourth proportional to 2,264.38, 3,396.04 and 877.25 is: 1,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.38 : 3,396.04 = 877.25 : x
  2. Step 2: Convert to fraction form
    2,264.38/3,396.04 = 877.25/x
  3. Step 3: Cross multiply
    2,264.38x = 3,396.04 × 877.25
  4. Step 4: Simplify right side
    2,264.38x = 2,979,176.09
  5. Step 5: Solve for x
    x = 2,979,176.09/2,264.38
  6. Step 6: Final answer
    x = 1,315.67

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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.