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Finding the Fourth Proportional to 3,410.66, 4,706.30 and 2,416.23

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Solution

The fourth proportional to 3,410.66, 4,706.30 and 2,416.23 is: 3,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.66 : 4,706.30 = 2,416.23 : x
  2. Step 2: Convert to fraction form
    3,410.66/4,706.30 = 2,416.23/x
  3. Step 3: Cross multiply
    3,410.66x = 4,706.30 × 2,416.23
  4. Step 4: Simplify right side
    3,410.66x = 11,371,509.29
  5. Step 5: Solve for x
    x = 11,371,509.29/3,410.66
  6. Step 6: Final answer
    x = 3,334.11

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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.