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Finding the Fourth Proportional to 2,102.24, 3,153.81 and 641.51

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Solution

The fourth proportional to 2,102.24, 3,153.81 and 641.51 is: 962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.24 : 3,153.81 = 641.51 : x
  2. Step 2: Convert to fraction form
    2,102.24/3,153.81 = 641.51/x
  3. Step 3: Cross multiply
    2,102.24x = 3,153.81 × 641.51
  4. Step 4: Simplify right side
    2,102.24x = 2,023,200.65
  5. Step 5: Solve for x
    x = 2,023,200.65/2,102.24
  6. Step 6: Final answer
    x = 962.40

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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.