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Finding the Fourth Proportional to 2,256.94, 3,386.22 and 1,639.60

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Solution

The fourth proportional to 2,256.94, 3,386.22 and 1,639.60 is: 2,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.94 : 3,386.22 = 1,639.60 : x
  2. Step 2: Convert to fraction form
    2,256.94/3,386.22 = 1,639.60/x
  3. Step 3: Cross multiply
    2,256.94x = 3,386.22 × 1,639.60
  4. Step 4: Simplify right side
    2,256.94x = 5,552,046.31
  5. Step 5: Solve for x
    x = 5,552,046.31/2,256.94
  6. Step 6: Final answer
    x = 2,459.99

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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.