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Finding the Fourth Proportional to 2,767.95, 3,818.25 and 1,772.10

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Solution

The fourth proportional to 2,767.95, 3,818.25 and 1,772.10 is: 2,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.95 : 3,818.25 = 1,772.10 : x
  2. Step 2: Convert to fraction form
    2,767.95/3,818.25 = 1,772.10/x
  3. Step 3: Cross multiply
    2,767.95x = 3,818.25 × 1,772.10
  4. Step 4: Simplify right side
    2,767.95x = 6,766,320.83
  5. Step 5: Solve for x
    x = 6,766,320.83/2,767.95
  6. Step 6: Final answer
    x = 2,444.52

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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.