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Finding the Fourth Proportional to 2,473.15, 3,708.63 and 741.37

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Solution

The fourth proportional to 2,473.15, 3,708.63 and 741.37 is: 1,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.15 : 3,708.63 = 741.37 : x
  2. Step 2: Convert to fraction form
    2,473.15/3,708.63 = 741.37/x
  3. Step 3: Cross multiply
    2,473.15x = 3,708.63 × 741.37
  4. Step 4: Simplify right side
    2,473.15x = 2,749,448.48
  5. Step 5: Solve for x
    x = 2,749,448.48/2,473.15
  6. Step 6: Final answer
    x = 1,111.72

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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.