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Finding the Fourth Proportional to 2,053.60, 3,074.03 and 1,660.32

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Solution

The fourth proportional to 2,053.60, 3,074.03 and 1,660.32 is: 2,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.60 : 3,074.03 = 1,660.32 : x
  2. Step 2: Convert to fraction form
    2,053.60/3,074.03 = 1,660.32/x
  3. Step 3: Cross multiply
    2,053.60x = 3,074.03 × 1,660.32
  4. Step 4: Simplify right side
    2,053.60x = 5,103,873.49
  5. Step 5: Solve for x
    x = 5,103,873.49/2,053.60
  6. Step 6: Final answer
    x = 2,485.33

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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.