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Finding the Fourth Proportional to 2,144.13, 3,216.84 and 895.32

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Solution

The fourth proportional to 2,144.13, 3,216.84 and 895.32 is: 1,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.13 : 3,216.84 = 895.32 : x
  2. Step 2: Convert to fraction form
    2,144.13/3,216.84 = 895.32/x
  3. Step 3: Cross multiply
    2,144.13x = 3,216.84 × 895.32
  4. Step 4: Simplify right side
    2,144.13x = 2,880,096.71
  5. Step 5: Solve for x
    x = 2,880,096.71/2,144.13
  6. Step 6: Final answer
    x = 1,343.25

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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.