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Finding the Fourth Proportional to 2,387.82, 3,575.29 and 1,346.26

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Solution

The fourth proportional to 2,387.82, 3,575.29 and 1,346.26 is: 2,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.82 : 3,575.29 = 1,346.26 : x
  2. Step 2: Convert to fraction form
    2,387.82/3,575.29 = 1,346.26/x
  3. Step 3: Cross multiply
    2,387.82x = 3,575.29 × 1,346.26
  4. Step 4: Simplify right side
    2,387.82x = 4,813,261.81
  5. Step 5: Solve for x
    x = 4,813,261.81/2,387.82
  6. Step 6: Final answer
    x = 2,015.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.