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Finding the Fourth Proportional to 2,054.70, 2,835.68 and 1,170.86

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Solution

The fourth proportional to 2,054.70, 2,835.68 and 1,170.86 is: 1,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.70 : 2,835.68 = 1,170.86 : x
  2. Step 2: Convert to fraction form
    2,054.70/2,835.68 = 1,170.86/x
  3. Step 3: Cross multiply
    2,054.70x = 2,835.68 × 1,170.86
  4. Step 4: Simplify right side
    2,054.70x = 3,320,164.25
  5. Step 5: Solve for x
    x = 3,320,164.25/2,054.70
  6. Step 6: Final answer
    x = 1,615.89

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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.