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Finding the Fourth Proportional to 1,595.64, 2,389.57 and 1,131.21

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Solution

The fourth proportional to 1,595.64, 2,389.57 and 1,131.21 is: 1,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.64 : 2,389.57 = 1,131.21 : x
  2. Step 2: Convert to fraction form
    1,595.64/2,389.57 = 1,131.21/x
  3. Step 3: Cross multiply
    1,595.64x = 2,389.57 × 1,131.21
  4. Step 4: Simplify right side
    1,595.64x = 2,703,105.48
  5. Step 5: Solve for x
    x = 2,703,105.48/1,595.64
  6. Step 6: Final answer
    x = 1,694.06

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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.