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Finding the Fourth Proportional to 2,615.14, 3,609.06 and 1,729.40

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Solution

The fourth proportional to 2,615.14, 3,609.06 and 1,729.40 is: 2,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.14 : 3,609.06 = 1,729.40 : x
  2. Step 2: Convert to fraction form
    2,615.14/3,609.06 = 1,729.40/x
  3. Step 3: Cross multiply
    2,615.14x = 3,609.06 × 1,729.40
  4. Step 4: Simplify right side
    2,615.14x = 6,241,508.36
  5. Step 5: Solve for x
    x = 6,241,508.36/2,615.14
  6. Step 6: Final answer
    x = 2,386.68

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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.