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Finding the Fourth Proportional to 2,833.57, 3,910.14 and 1,574.63

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Solution

The fourth proportional to 2,833.57, 3,910.14 and 1,574.63 is: 2,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.57 : 3,910.14 = 1,574.63 : x
  2. Step 2: Convert to fraction form
    2,833.57/3,910.14 = 1,574.63/x
  3. Step 3: Cross multiply
    2,833.57x = 3,910.14 × 1,574.63
  4. Step 4: Simplify right side
    2,833.57x = 6,157,018.86
  5. Step 5: Solve for x
    x = 6,157,018.86/2,833.57
  6. Step 6: Final answer
    x = 2,172.88

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