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Finding the Fourth Proportional to 3,159.06, 4,742.24 and 1,701.06

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Solution

The fourth proportional to 3,159.06, 4,742.24 and 1,701.06 is: 2,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.06 : 4,742.24 = 1,701.06 : x
  2. Step 2: Convert to fraction form
    3,159.06/4,742.24 = 1,701.06/x
  3. Step 3: Cross multiply
    3,159.06x = 4,742.24 × 1,701.06
  4. Step 4: Simplify right side
    3,159.06x = 8,066,826.27
  5. Step 5: Solve for x
    x = 8,066,826.27/3,159.06
  6. Step 6: Final answer
    x = 2,553.55

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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.