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Finding the Fourth Proportional to 2,054.80, 2,835.34 and 1,158.43

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Solution

The fourth proportional to 2,054.80, 2,835.34 and 1,158.43 is: 1,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.80 : 2,835.34 = 1,158.43 : x
  2. Step 2: Convert to fraction form
    2,054.80/2,835.34 = 1,158.43/x
  3. Step 3: Cross multiply
    2,054.80x = 2,835.34 × 1,158.43
  4. Step 4: Simplify right side
    2,054.80x = 3,284,542.92
  5. Step 5: Solve for x
    x = 3,284,542.92/2,054.80
  6. Step 6: Final answer
    x = 1,598.47

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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.