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Finding the Fourth Proportional to 2,574.35, 3,553.23 and 1,691.35

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Solution

The fourth proportional to 2,574.35, 3,553.23 and 1,691.35 is: 2,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.35 : 3,553.23 = 1,691.35 : x
  2. Step 2: Convert to fraction form
    2,574.35/3,553.23 = 1,691.35/x
  3. Step 3: Cross multiply
    2,574.35x = 3,553.23 × 1,691.35
  4. Step 4: Simplify right side
    2,574.35x = 6,009,742.02
  5. Step 5: Solve for x
    x = 6,009,742.02/2,574.35
  6. Step 6: Final answer
    x = 2,334.47

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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.