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Finding the Fourth Proportional to 2,359.77, 3,256.47 and 1,311.83

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Solution

The fourth proportional to 2,359.77, 3,256.47 and 1,311.83 is: 1,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.77 : 3,256.47 = 1,311.83 : x
  2. Step 2: Convert to fraction form
    2,359.77/3,256.47 = 1,311.83/x
  3. Step 3: Cross multiply
    2,359.77x = 3,256.47 × 1,311.83
  4. Step 4: Simplify right side
    2,359.77x = 4,271,930.97
  5. Step 5: Solve for x
    x = 4,271,930.97/2,359.77
  6. Step 6: Final answer
    x = 1,810.32

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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.