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Finding the Fourth Proportional to 3,116.14, 4,300.22 and 1,699.84

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Solution

The fourth proportional to 3,116.14, 4,300.22 and 1,699.84 is: 2,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.14 : 4,300.22 = 1,699.84 : x
  2. Step 2: Convert to fraction form
    3,116.14/4,300.22 = 1,699.84/x
  3. Step 3: Cross multiply
    3,116.14x = 4,300.22 × 1,699.84
  4. Step 4: Simplify right side
    3,116.14x = 7,309,655.96
  5. Step 5: Solve for x
    x = 7,309,655.96/3,116.14
  6. Step 6: Final answer
    x = 2,345.74

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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.