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Finding the Fourth Proportional to 2,052.99, 2,832.21 and 1,345.59

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Solution

The fourth proportional to 2,052.99, 2,832.21 and 1,345.59 is: 1,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.99 : 2,832.21 = 1,345.59 : x
  2. Step 2: Convert to fraction form
    2,052.99/2,832.21 = 1,345.59/x
  3. Step 3: Cross multiply
    2,052.99x = 2,832.21 × 1,345.59
  4. Step 4: Simplify right side
    2,052.99x = 3,810,993.45
  5. Step 5: Solve for x
    x = 3,810,993.45/2,052.99
  6. Step 6: Final answer
    x = 1,856.31

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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.