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Finding the Fourth Proportional to 2,303.86, 3,179.64 and 1,309.54

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Solution

The fourth proportional to 2,303.86, 3,179.64 and 1,309.54 is: 1,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.86 : 3,179.64 = 1,309.54 : x
  2. Step 2: Convert to fraction form
    2,303.86/3,179.64 = 1,309.54/x
  3. Step 3: Cross multiply
    2,303.86x = 3,179.64 × 1,309.54
  4. Step 4: Simplify right side
    2,303.86x = 4,163,865.77
  5. Step 5: Solve for x
    x = 4,163,865.77/2,303.86
  6. Step 6: Final answer
    x = 1,807.34

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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.