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Finding the Fourth Proportional to 2,656.66, 3,985.08 and 1,357.12

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Solution

The fourth proportional to 2,656.66, 3,985.08 and 1,357.12 is: 2,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.66 : 3,985.08 = 1,357.12 : x
  2. Step 2: Convert to fraction form
    2,656.66/3,985.08 = 1,357.12/x
  3. Step 3: Cross multiply
    2,656.66x = 3,985.08 × 1,357.12
  4. Step 4: Simplify right side
    2,656.66x = 5,408,231.77
  5. Step 5: Solve for x
    x = 5,408,231.77/2,656.66
  6. Step 6: Final answer
    x = 2,035.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.