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Finding the Fourth Proportional to 2,474.16, 3,415.41 and 1,846.68

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Solution

The fourth proportional to 2,474.16, 3,415.41 and 1,846.68 is: 2,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.16 : 3,415.41 = 1,846.68 : x
  2. Step 2: Convert to fraction form
    2,474.16/3,415.41 = 1,846.68/x
  3. Step 3: Cross multiply
    2,474.16x = 3,415.41 × 1,846.68
  4. Step 4: Simplify right side
    2,474.16x = 6,307,169.34
  5. Step 5: Solve for x
    x = 6,307,169.34/2,474.16
  6. Step 6: Final answer
    x = 2,549.22

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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.