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Finding the Fourth Proportional to 2,104.34, 2,903.90 and 1,160.04

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Solution

The fourth proportional to 2,104.34, 2,903.90 and 1,160.04 is: 1,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.34 : 2,903.90 = 1,160.04 : x
  2. Step 2: Convert to fraction form
    2,104.34/2,903.90 = 1,160.04/x
  3. Step 3: Cross multiply
    2,104.34x = 2,903.90 × 1,160.04
  4. Step 4: Simplify right side
    2,104.34x = 3,368,634.36
  5. Step 5: Solve for x
    x = 3,368,634.36/2,104.34
  6. Step 6: Final answer
    x = 1,600.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.