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Finding the Fourth Proportional to 2,229, 3,077.31 and 1,706.01

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Solution

The fourth proportional to 2,229, 3,077.31 and 1,706.01 is: 2,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229 : 3,077.31 = 1,706.01 : x
  2. Step 2: Convert to fraction form
    2,229/3,077.31 = 1,706.01/x
  3. Step 3: Cross multiply
    2,229x = 3,077.31 × 1,706.01
  4. Step 4: Simplify right side
    2,229x = 5,249,921.63
  5. Step 5: Solve for x
    x = 5,249,921.63/2,229
  6. Step 6: Final answer
    x = 2,355.28

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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.