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Finding the Fourth Proportional to 2,359.45, 3,256.02 and 1,311.50

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Solution

The fourth proportional to 2,359.45, 3,256.02 and 1,311.50 is: 1,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.45 : 3,256.02 = 1,311.50 : x
  2. Step 2: Convert to fraction form
    2,359.45/3,256.02 = 1,311.50/x
  3. Step 3: Cross multiply
    2,359.45x = 3,256.02 × 1,311.50
  4. Step 4: Simplify right side
    2,359.45x = 4,270,270.23
  5. Step 5: Solve for x
    x = 4,270,270.23/2,359.45
  6. Step 6: Final answer
    x = 1,809.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.