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Finding the Fourth Proportional to 3,116.57, 4,300.86 and 1,700.24

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Solution

The fourth proportional to 3,116.57, 4,300.86 and 1,700.24 is: 2,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.57 : 4,300.86 = 1,700.24 : x
  2. Step 2: Convert to fraction form
    3,116.57/4,300.86 = 1,700.24/x
  3. Step 3: Cross multiply
    3,116.57x = 4,300.86 × 1,700.24
  4. Step 4: Simplify right side
    3,116.57x = 7,312,494.21
  5. Step 5: Solve for x
    x = 7,312,494.21/3,116.57
  6. Step 6: Final answer
    x = 2,346.33

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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.