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Finding the Fourth Proportional to 2,261.99, 3,377.89 and 1,769.51

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Solution

The fourth proportional to 2,261.99, 3,377.89 and 1,769.51 is: 2,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.99 : 3,377.89 = 1,769.51 : x
  2. Step 2: Convert to fraction form
    2,261.99/3,377.89 = 1,769.51/x
  3. Step 3: Cross multiply
    2,261.99x = 3,377.89 × 1,769.51
  4. Step 4: Simplify right side
    2,261.99x = 5,977,210.13
  5. Step 5: Solve for x
    x = 5,977,210.13/2,261.99
  6. Step 6: Final answer
    x = 2,642.46

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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.