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Finding the Fourth Proportional to 2,615.37, 3,609.20 and 1,420.35

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Solution

The fourth proportional to 2,615.37, 3,609.20 and 1,420.35 is: 1,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.37 : 3,609.20 = 1,420.35 : x
  2. Step 2: Convert to fraction form
    2,615.37/3,609.20 = 1,420.35/x
  3. Step 3: Cross multiply
    2,615.37x = 3,609.20 × 1,420.35
  4. Step 4: Simplify right side
    2,615.37x = 5,126,322.71
  5. Step 5: Solve for x
    x = 5,126,322.71/2,615.37
  6. Step 6: Final answer
    x = 1,960.07

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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.