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Finding the Fourth Proportional to 3,054.59, 4,215.14 and 1,691.77

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Solution

The fourth proportional to 3,054.59, 4,215.14 and 1,691.77 is: 2,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.59 : 4,215.14 = 1,691.77 : x
  2. Step 2: Convert to fraction form
    3,054.59/4,215.14 = 1,691.77/x
  3. Step 3: Cross multiply
    3,054.59x = 4,215.14 × 1,691.77
  4. Step 4: Simplify right side
    3,054.59x = 7,131,060.43
  5. Step 5: Solve for x
    x = 7,131,060.43/3,054.59
  6. Step 6: Final answer
    x = 2,334.54

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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.