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Finding the Fourth Proportional to 2,910.70, 4,359.51 and 2,259.46

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Solution

The fourth proportional to 2,910.70, 4,359.51 and 2,259.46 is: 3,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.70 : 4,359.51 = 2,259.46 : x
  2. Step 2: Convert to fraction form
    2,910.70/4,359.51 = 2,259.46/x
  3. Step 3: Cross multiply
    2,910.70x = 4,359.51 × 2,259.46
  4. Step 4: Simplify right side
    2,910.70x = 9,850,138.46
  5. Step 5: Solve for x
    x = 9,850,138.46/2,910.70
  6. Step 6: Final answer
    x = 3,384.11

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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.