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Finding the Fourth Proportional to 2,268.71, 3,130.94 and 1,384.25

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Solution

The fourth proportional to 2,268.71, 3,130.94 and 1,384.25 is: 1,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.71 : 3,130.94 = 1,384.25 : x
  2. Step 2: Convert to fraction form
    2,268.71/3,130.94 = 1,384.25/x
  3. Step 3: Cross multiply
    2,268.71x = 3,130.94 × 1,384.25
  4. Step 4: Simplify right side
    2,268.71x = 4,333,996.77
  5. Step 5: Solve for x
    x = 4,333,996.77/2,268.71
  6. Step 6: Final answer
    x = 1,910.34

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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.