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Finding the Fourth Proportional to 2,059.60, 3,089.24 and 1,600.32

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Solution

The fourth proportional to 2,059.60, 3,089.24 and 1,600.32 is: 2,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.60 : 3,089.24 = 1,600.32 : x
  2. Step 2: Convert to fraction form
    2,059.60/3,089.24 = 1,600.32/x
  3. Step 3: Cross multiply
    2,059.60x = 3,089.24 × 1,600.32
  4. Step 4: Simplify right side
    2,059.60x = 4,943,772.56
  5. Step 5: Solve for x
    x = 4,943,772.56/2,059.60
  6. Step 6: Final answer
    x = 2,400.36

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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.