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Finding the Fourth Proportional to 2,416.92, 3,643.47 and 2,256.18

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Solution

The fourth proportional to 2,416.92, 3,643.47 and 2,256.18 is: 3,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.92 : 3,643.47 = 2,256.18 : x
  2. Step 2: Convert to fraction form
    2,416.92/3,643.47 = 2,256.18/x
  3. Step 3: Cross multiply
    2,416.92x = 3,643.47 × 2,256.18
  4. Step 4: Simplify right side
    2,416.92x = 8,220,324.14
  5. Step 5: Solve for x
    x = 8,220,324.14/2,416.92
  6. Step 6: Final answer
    x = 3,401.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.