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Finding the Fourth Proportional to 1,827.80, 2,735.40 and 1,097.90

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Solution

The fourth proportional to 1,827.80, 2,735.40 and 1,097.90 is: 1,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.80 : 2,735.40 = 1,097.90 : x
  2. Step 2: Convert to fraction form
    1,827.80/2,735.40 = 1,097.90/x
  3. Step 3: Cross multiply
    1,827.80x = 2,735.40 × 1,097.90
  4. Step 4: Simplify right side
    1,827.80x = 3,003,195.66
  5. Step 5: Solve for x
    x = 3,003,195.66/1,827.80
  6. Step 6: Final answer
    x = 1,643.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.