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Finding the Fourth Proportional to 2,113.04, 3,169.72 and 574

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Solution

The fourth proportional to 2,113.04, 3,169.72 and 574 is: 861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.04 : 3,169.72 = 574 : x
  2. Step 2: Convert to fraction form
    2,113.04/3,169.72 = 574/x
  3. Step 3: Cross multiply
    2,113.04x = 3,169.72 × 574
  4. Step 4: Simplify right side
    2,113.04x = 1,819,419.28
  5. Step 5: Solve for x
    x = 1,819,419.28/2,113.04
  6. Step 6: Final answer
    x = 861.04

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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.