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Finding the Fourth Proportional to 2,010.24, 2,776.68 and 1,813.68

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Solution

The fourth proportional to 2,010.24, 2,776.68 and 1,813.68 is: 2,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.24 : 2,776.68 = 1,813.68 : x
  2. Step 2: Convert to fraction form
    2,010.24/2,776.68 = 1,813.68/x
  3. Step 3: Cross multiply
    2,010.24x = 2,776.68 × 1,813.68
  4. Step 4: Simplify right side
    2,010.24x = 5,036,008.98
  5. Step 5: Solve for x
    x = 5,036,008.98/2,010.24
  6. Step 6: Final answer
    x = 2,505.18

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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.