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Finding the Fourth Proportional to 2,420, 3,609.91 and 2,339.01

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Solution

The fourth proportional to 2,420, 3,609.91 and 2,339.01 is: 3,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420 : 3,609.91 = 2,339.01 : x
  2. Step 2: Convert to fraction form
    2,420/3,609.91 = 2,339.01/x
  3. Step 3: Cross multiply
    2,420x = 3,609.91 × 2,339.01
  4. Step 4: Simplify right side
    2,420x = 8,443,615.59
  5. Step 5: Solve for x
    x = 8,443,615.59/2,420
  6. Step 6: Final answer
    x = 3,489.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.