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Finding the Fourth Proportional to 1,886.85, 2,810.72 and 1,855.80

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Solution

The fourth proportional to 1,886.85, 2,810.72 and 1,855.80 is: 2,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.85 : 2,810.72 = 1,855.80 : x
  2. Step 2: Convert to fraction form
    1,886.85/2,810.72 = 1,855.80/x
  3. Step 3: Cross multiply
    1,886.85x = 2,810.72 × 1,855.80
  4. Step 4: Simplify right side
    1,886.85x = 5,216,138.82
  5. Step 5: Solve for x
    x = 5,216,138.82/1,886.85
  6. Step 6: Final answer
    x = 2,764.47

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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.