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Finding the Fourth Proportional to 2,602.53, 3,591.64 and 2,182.14

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Solution

The fourth proportional to 2,602.53, 3,591.64 and 2,182.14 is: 3,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.53 : 3,591.64 = 2,182.14 : x
  2. Step 2: Convert to fraction form
    2,602.53/3,591.64 = 2,182.14/x
  3. Step 3: Cross multiply
    2,602.53x = 3,591.64 × 2,182.14
  4. Step 4: Simplify right side
    2,602.53x = 7,837,464.04
  5. Step 5: Solve for x
    x = 7,837,464.04/2,602.53
  6. Step 6: Final answer
    x = 3,011.48

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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.