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Finding the Fourth Proportional to 2,080.74, 2,868.12 and 1,638.06

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Solution

The fourth proportional to 2,080.74, 2,868.12 and 1,638.06 is: 2,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.74 : 2,868.12 = 1,638.06 : x
  2. Step 2: Convert to fraction form
    2,080.74/2,868.12 = 1,638.06/x
  3. Step 3: Cross multiply
    2,080.74x = 2,868.12 × 1,638.06
  4. Step 4: Simplify right side
    2,080.74x = 4,698,152.65
  5. Step 5: Solve for x
    x = 4,698,152.65/2,080.74
  6. Step 6: Final answer
    x = 2,257.92

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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.