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Finding the Fourth Proportional to 2,434.77, 3,654.63 and 1,742.22

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Solution

The fourth proportional to 2,434.77, 3,654.63 and 1,742.22 is: 2,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.77 : 3,654.63 = 1,742.22 : x
  2. Step 2: Convert to fraction form
    2,434.77/3,654.63 = 1,742.22/x
  3. Step 3: Cross multiply
    2,434.77x = 3,654.63 × 1,742.22
  4. Step 4: Simplify right side
    2,434.77x = 6,367,169.48
  5. Step 5: Solve for x
    x = 6,367,169.48/2,434.77
  6. Step 6: Final answer
    x = 2,615.10

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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.