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Finding the Fourth Proportional to 2,389.05, 3,568.21 and 2,061

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Solution

The fourth proportional to 2,389.05, 3,568.21 and 2,061 is: 3,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.05 : 3,568.21 = 2,061 : x
  2. Step 2: Convert to fraction form
    2,389.05/3,568.21 = 2,061/x
  3. Step 3: Cross multiply
    2,389.05x = 3,568.21 × 2,061
  4. Step 4: Simplify right side
    2,389.05x = 7,354,075.66
  5. Step 5: Solve for x
    x = 7,354,075.66/2,389.05
  6. Step 6: Final answer
    x = 3,078.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.