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Finding the Fourth Proportional to 2,602.70, 3,591.69 and 1,423.77

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Solution

The fourth proportional to 2,602.70, 3,591.69 and 1,423.77 is: 1,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.70 : 3,591.69 = 1,423.77 : x
  2. Step 2: Convert to fraction form
    2,602.70/3,591.69 = 1,423.77/x
  3. Step 3: Cross multiply
    2,602.70x = 3,591.69 × 1,423.77
  4. Step 4: Simplify right side
    2,602.70x = 5,113,740.47
  5. Step 5: Solve for x
    x = 5,113,740.47/2,602.70
  6. Step 6: Final answer
    x = 1,964.79

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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.