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Finding the Fourth Proportional to 2,151.72, 3,220.92 and 1,410.48

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Solution

The fourth proportional to 2,151.72, 3,220.92 and 1,410.48 is: 2,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.72 : 3,220.92 = 1,410.48 : x
  2. Step 2: Convert to fraction form
    2,151.72/3,220.92 = 1,410.48/x
  3. Step 3: Cross multiply
    2,151.72x = 3,220.92 × 1,410.48
  4. Step 4: Simplify right side
    2,151.72x = 4,543,043.24
  5. Step 5: Solve for x
    x = 4,543,043.24/2,151.72
  6. Step 6: Final answer
    x = 2,111.35

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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.