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Finding the Fourth Proportional to 2,593.67, 3,580.02 and 1,475.22

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Solution

The fourth proportional to 2,593.67, 3,580.02 and 1,475.22 is: 2,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.67 : 3,580.02 = 1,475.22 : x
  2. Step 2: Convert to fraction form
    2,593.67/3,580.02 = 1,475.22/x
  3. Step 3: Cross multiply
    2,593.67x = 3,580.02 × 1,475.22
  4. Step 4: Simplify right side
    2,593.67x = 5,281,330.53
  5. Step 5: Solve for x
    x = 5,281,330.53/2,593.67
  6. Step 6: Final answer
    x = 2,036.24

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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.