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Finding the Fourth Proportional to 1,361, 2,041.60 and 998.08

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Solution

The fourth proportional to 1,361, 2,041.60 and 998.08 is: 1,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361 : 2,041.60 = 998.08 : x
  2. Step 2: Convert to fraction form
    1,361/2,041.60 = 998.08/x
  3. Step 3: Cross multiply
    1,361x = 2,041.60 × 998.08
  4. Step 4: Simplify right side
    1,361x = 2,037,680.13
  5. Step 5: Solve for x
    x = 2,037,680.13/1,361
  6. Step 6: Final answer
    x = 1,497.19

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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.