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Finding the Fourth Proportional to 2,064.14, 2,848.56 and 1,167.91

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Solution

The fourth proportional to 2,064.14, 2,848.56 and 1,167.91 is: 1,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.14 : 2,848.56 = 1,167.91 : x
  2. Step 2: Convert to fraction form
    2,064.14/2,848.56 = 1,167.91/x
  3. Step 3: Cross multiply
    2,064.14x = 2,848.56 × 1,167.91
  4. Step 4: Simplify right side
    2,064.14x = 3,326,854.59
  5. Step 5: Solve for x
    x = 3,326,854.59/2,064.14
  6. Step 6: Final answer
    x = 1,611.74

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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.