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Finding the Fourth Proportional to 2,570.50, 3,848.19 and 1,743.22

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Solution

The fourth proportional to 2,570.50, 3,848.19 and 1,743.22 is: 2,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.50 : 3,848.19 = 1,743.22 : x
  2. Step 2: Convert to fraction form
    2,570.50/3,848.19 = 1,743.22/x
  3. Step 3: Cross multiply
    2,570.50x = 3,848.19 × 1,743.22
  4. Step 4: Simplify right side
    2,570.50x = 6,708,241.77
  5. Step 5: Solve for x
    x = 6,708,241.77/2,570.50
  6. Step 6: Final answer
    x = 2,609.70

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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.