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Finding the Fourth Proportional to 2,010.81, 3,015.54 and 899.53

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Solution

The fourth proportional to 2,010.81, 3,015.54 and 899.53 is: 1,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.81 : 3,015.54 = 899.53 : x
  2. Step 2: Convert to fraction form
    2,010.81/3,015.54 = 899.53/x
  3. Step 3: Cross multiply
    2,010.81x = 3,015.54 × 899.53
  4. Step 4: Simplify right side
    2,010.81x = 2,712,568.70
  5. Step 5: Solve for x
    x = 2,712,568.70/2,010.81
  6. Step 6: Final answer
    x = 1,348.99

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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.