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Finding the Fourth Proportional to 2,295.46, 3,171.45 and 1,599.94

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Solution

The fourth proportional to 2,295.46, 3,171.45 and 1,599.94 is: 2,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.46 : 3,171.45 = 1,599.94 : x
  2. Step 2: Convert to fraction form
    2,295.46/3,171.45 = 1,599.94/x
  3. Step 3: Cross multiply
    2,295.46x = 3,171.45 × 1,599.94
  4. Step 4: Simplify right side
    2,295.46x = 5,074,129.71
  5. Step 5: Solve for x
    x = 5,074,129.71/2,295.46
  6. Step 6: Final answer
    x = 2,210.51

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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.