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Finding the Fourth Proportional to 2,473.18, 3,709.05 and 741.34

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Solution

The fourth proportional to 2,473.18, 3,709.05 and 741.34 is: 1,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.18 : 3,709.05 = 741.34 : x
  2. Step 2: Convert to fraction form
    2,473.18/3,709.05 = 741.34/x
  3. Step 3: Cross multiply
    2,473.18x = 3,709.05 × 741.34
  4. Step 4: Simplify right side
    2,473.18x = 2,749,667.13
  5. Step 5: Solve for x
    x = 2,749,667.13/2,473.18
  6. Step 6: Final answer
    x = 1,111.79

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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.