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Finding the Fourth Proportional to 2,160.46, 3,240.83 and 1,466.83

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Solution

The fourth proportional to 2,160.46, 3,240.83 and 1,466.83 is: 2,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.46 : 3,240.83 = 1,466.83 : x
  2. Step 2: Convert to fraction form
    2,160.46/3,240.83 = 1,466.83/x
  3. Step 3: Cross multiply
    2,160.46x = 3,240.83 × 1,466.83
  4. Step 4: Simplify right side
    2,160.46x = 4,753,746.67
  5. Step 5: Solve for x
    x = 4,753,746.67/2,160.46
  6. Step 6: Final answer
    x = 2,200.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.