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Finding the Fourth Proportional to 2,457.82, 3,392.16 and 1,463.18

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Solution

The fourth proportional to 2,457.82, 3,392.16 and 1,463.18 is: 2,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.82 : 3,392.16 = 1,463.18 : x
  2. Step 2: Convert to fraction form
    2,457.82/3,392.16 = 1,463.18/x
  3. Step 3: Cross multiply
    2,457.82x = 3,392.16 × 1,463.18
  4. Step 4: Simplify right side
    2,457.82x = 4,963,340.67
  5. Step 5: Solve for x
    x = 4,963,340.67/2,457.82
  6. Step 6: Final answer
    x = 2,019.41

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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.