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Finding the Fourth Proportional to 2,063.13, 2,847.11 and 1,131.63

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Solution

The fourth proportional to 2,063.13, 2,847.11 and 1,131.63 is: 1,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.13 : 2,847.11 = 1,131.63 : x
  2. Step 2: Convert to fraction form
    2,063.13/2,847.11 = 1,131.63/x
  3. Step 3: Cross multiply
    2,063.13x = 2,847.11 × 1,131.63
  4. Step 4: Simplify right side
    2,063.13x = 3,221,875.09
  5. Step 5: Solve for x
    x = 3,221,875.09/2,063.13
  6. Step 6: Final answer
    x = 1,561.64

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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.