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Finding the Fourth Proportional to 3,143.44, 4,338.28 and 1,746.32

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Solution

The fourth proportional to 3,143.44, 4,338.28 and 1,746.32 is: 2,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.44 : 4,338.28 = 1,746.32 : x
  2. Step 2: Convert to fraction form
    3,143.44/4,338.28 = 1,746.32/x
  3. Step 3: Cross multiply
    3,143.44x = 4,338.28 × 1,746.32
  4. Step 4: Simplify right side
    3,143.44x = 7,576,025.13
  5. Step 5: Solve for x
    x = 7,576,025.13/3,143.44
  6. Step 6: Final answer
    x = 2,410.11

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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.