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Finding the Fourth Proportional to 3,411.04, 4,709.60 and 2,233.76

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Solution

The fourth proportional to 3,411.04, 4,709.60 and 2,233.76 is: 3,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.04 : 4,709.60 = 2,233.76 : x
  2. Step 2: Convert to fraction form
    3,411.04/4,709.60 = 2,233.76/x
  3. Step 3: Cross multiply
    3,411.04x = 4,709.60 × 2,233.76
  4. Step 4: Simplify right side
    3,411.04x = 10,520,116.10
  5. Step 5: Solve for x
    x = 10,520,116.10/3,411.04
  6. Step 6: Final answer
    x = 3,084.14

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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.