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Finding the Fourth Proportional to 2,833.42, 3,910.06 and 1,574.47

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Solution

The fourth proportional to 2,833.42, 3,910.06 and 1,574.47 is: 2,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.42 : 3,910.06 = 1,574.47 : x
  2. Step 2: Convert to fraction form
    2,833.42/3,910.06 = 1,574.47/x
  3. Step 3: Cross multiply
    2,833.42x = 3,910.06 × 1,574.47
  4. Step 4: Simplify right side
    2,833.42x = 6,156,272.17
  5. Step 5: Solve for x
    x = 6,156,272.17/2,833.42
  6. Step 6: Final answer
    x = 2,172.74

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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.