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Finding the Fourth Proportional to 2,889.45, 4,328.10 and 2,342.70

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Solution

The fourth proportional to 2,889.45, 4,328.10 and 2,342.70 is: 3,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.45 : 4,328.10 = 2,342.70 : x
  2. Step 2: Convert to fraction form
    2,889.45/4,328.10 = 2,342.70/x
  3. Step 3: Cross multiply
    2,889.45x = 4,328.10 × 2,342.70
  4. Step 4: Simplify right side
    2,889.45x = 10,139,439.87
  5. Step 5: Solve for x
    x = 10,139,439.87/2,889.45
  6. Step 6: Final answer
    x = 3,509.12

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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.