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Finding the Fourth Proportional to 2,035.29, 3,052.50 and 574.05

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Solution

The fourth proportional to 2,035.29, 3,052.50 and 574.05 is: 860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.29 : 3,052.50 = 574.05 : x
  2. Step 2: Convert to fraction form
    2,035.29/3,052.50 = 574.05/x
  3. Step 3: Cross multiply
    2,035.29x = 3,052.50 × 574.05
  4. Step 4: Simplify right side
    2,035.29x = 1,752,287.63
  5. Step 5: Solve for x
    x = 1,752,287.63/2,035.29
  6. Step 6: Final answer
    x = 860.95

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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.