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Finding the Fourth Proportional to 2,753.07, 3,799.23 and 1,574.16

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Solution

The fourth proportional to 2,753.07, 3,799.23 and 1,574.16 is: 2,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.07 : 3,799.23 = 1,574.16 : x
  2. Step 2: Convert to fraction form
    2,753.07/3,799.23 = 1,574.16/x
  3. Step 3: Cross multiply
    2,753.07x = 3,799.23 × 1,574.16
  4. Step 4: Simplify right side
    2,753.07x = 5,980,595.90
  5. Step 5: Solve for x
    x = 5,980,595.90/2,753.07
  6. Step 6: Final answer
    x = 2,172.34

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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.