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Finding the Fourth Proportional to 2,054.59, 2,835.25 and 1,170.32

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Solution

The fourth proportional to 2,054.59, 2,835.25 and 1,170.32 is: 1,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.59 : 2,835.25 = 1,170.32 : x
  2. Step 2: Convert to fraction form
    2,054.59/2,835.25 = 1,170.32/x
  3. Step 3: Cross multiply
    2,054.59x = 2,835.25 × 1,170.32
  4. Step 4: Simplify right side
    2,054.59x = 3,318,132.68
  5. Step 5: Solve for x
    x = 3,318,132.68/2,054.59
  6. Step 6: Final answer
    x = 1,614.99

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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.