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Finding the Fourth Proportional to 2,602.18, 3,591 and 1,423.24

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Solution

The fourth proportional to 2,602.18, 3,591 and 1,423.24 is: 1,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.18 : 3,591 = 1,423.24 : x
  2. Step 2: Convert to fraction form
    2,602.18/3,591 = 1,423.24/x
  3. Step 3: Cross multiply
    2,602.18x = 3,591 × 1,423.24
  4. Step 4: Simplify right side
    2,602.18x = 5,110,854.84
  5. Step 5: Solve for x
    x = 5,110,854.84/2,602.18
  6. Step 6: Final answer
    x = 1,964.07

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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.