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Finding the Fourth Proportional to 2,309.48, 3,464.82 and 848.64

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Solution

The fourth proportional to 2,309.48, 3,464.82 and 848.64 is: 1,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.48 : 3,464.82 = 848.64 : x
  2. Step 2: Convert to fraction form
    2,309.48/3,464.82 = 848.64/x
  3. Step 3: Cross multiply
    2,309.48x = 3,464.82 × 848.64
  4. Step 4: Simplify right side
    2,309.48x = 2,940,384.84
  5. Step 5: Solve for x
    x = 2,940,384.84/2,309.48
  6. Step 6: Final answer
    x = 1,273.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.