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Finding the Fourth Proportional to 1,998.90, 2,998.41 and 538.08

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Solution

The fourth proportional to 1,998.90, 2,998.41 and 538.08 is: 807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.90 : 2,998.41 = 538.08 : x
  2. Step 2: Convert to fraction form
    1,998.90/2,998.41 = 538.08/x
  3. Step 3: Cross multiply
    1,998.90x = 2,998.41 × 538.08
  4. Step 4: Simplify right side
    1,998.90x = 1,613,384.45
  5. Step 5: Solve for x
    x = 1,613,384.45/1,998.90
  6. Step 6: Final answer
    x = 807.14

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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.