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Finding the Fourth Proportional to 1,977.55, 2,726.46 and 1,622.16

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Solution

The fourth proportional to 1,977.55, 2,726.46 and 1,622.16 is: 2,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.55 : 2,726.46 = 1,622.16 : x
  2. Step 2: Convert to fraction form
    1,977.55/2,726.46 = 1,622.16/x
  3. Step 3: Cross multiply
    1,977.55x = 2,726.46 × 1,622.16
  4. Step 4: Simplify right side
    1,977.55x = 4,422,754.35
  5. Step 5: Solve for x
    x = 4,422,754.35/1,977.55
  6. Step 6: Final answer
    x = 2,236.48

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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.