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Finding the Fourth Proportional to 1,812.24, 2,502.16 and 1,600.80

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Solution

The fourth proportional to 1,812.24, 2,502.16 and 1,600.80 is: 2,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.24 : 2,502.16 = 1,600.80 : x
  2. Step 2: Convert to fraction form
    1,812.24/2,502.16 = 1,600.80/x
  3. Step 3: Cross multiply
    1,812.24x = 2,502.16 × 1,600.80
  4. Step 4: Simplify right side
    1,812.24x = 4,005,457.73
  5. Step 5: Solve for x
    x = 4,005,457.73/1,812.24
  6. Step 6: Final answer
    x = 2,210.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.