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Finding the Fourth Proportional to 3,098.51, 4,277.44 and 1,772

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Solution

The fourth proportional to 3,098.51, 4,277.44 and 1,772 is: 2,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.51 : 4,277.44 = 1,772 : x
  2. Step 2: Convert to fraction form
    3,098.51/4,277.44 = 1,772/x
  3. Step 3: Cross multiply
    3,098.51x = 4,277.44 × 1,772
  4. Step 4: Simplify right side
    3,098.51x = 7,579,623.68
  5. Step 5: Solve for x
    x = 7,579,623.68/3,098.51
  6. Step 6: Final answer
    x = 2,446.22

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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.