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Finding the Fourth Proportional to 2,954, 4,077.06 and 1,712

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Solution

The fourth proportional to 2,954, 4,077.06 and 1,712 is: 2,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954 : 4,077.06 = 1,712 : x
  2. Step 2: Convert to fraction form
    2,954/4,077.06 = 1,712/x
  3. Step 3: Cross multiply
    2,954x = 4,077.06 × 1,712
  4. Step 4: Simplify right side
    2,954x = 6,979,926.72
  5. Step 5: Solve for x
    x = 6,979,926.72/2,954
  6. Step 6: Final answer
    x = 2,362.87

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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.