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Finding the Fourth Proportional to 2,059.53, 2,838.83 and 1,610.61

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Solution

The fourth proportional to 2,059.53, 2,838.83 and 1,610.61 is: 2,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.53 : 2,838.83 = 1,610.61 : x
  2. Step 2: Convert to fraction form
    2,059.53/2,838.83 = 1,610.61/x
  3. Step 3: Cross multiply
    2,059.53x = 2,838.83 × 1,610.61
  4. Step 4: Simplify right side
    2,059.53x = 4,572,247.99
  5. Step 5: Solve for x
    x = 4,572,247.99/2,059.53
  6. Step 6: Final answer
    x = 2,220.04

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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.