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Finding the Fourth Proportional to 1,886.22, 2,816.24 and 1,769.58

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Solution

The fourth proportional to 1,886.22, 2,816.24 and 1,769.58 is: 2,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.22 : 2,816.24 = 1,769.58 : x
  2. Step 2: Convert to fraction form
    1,886.22/2,816.24 = 1,769.58/x
  3. Step 3: Cross multiply
    1,886.22x = 2,816.24 × 1,769.58
  4. Step 4: Simplify right side
    1,886.22x = 4,983,553.13
  5. Step 5: Solve for x
    x = 4,983,553.13/1,886.22
  6. Step 6: Final answer
    x = 2,642.08

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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.