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Finding the Fourth Proportional to 1,870.80, 2,576.56 and 1,755.98

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Solution

The fourth proportional to 1,870.80, 2,576.56 and 1,755.98 is: 2,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.80 : 2,576.56 = 1,755.98 : x
  2. Step 2: Convert to fraction form
    1,870.80/2,576.56 = 1,755.98/x
  3. Step 3: Cross multiply
    1,870.80x = 2,576.56 × 1,755.98
  4. Step 4: Simplify right side
    1,870.80x = 4,524,383.51
  5. Step 5: Solve for x
    x = 4,524,383.51/1,870.80
  6. Step 6: Final answer
    x = 2,418.43

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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.