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Finding the Fourth Proportional to 3,266.48, 4,507.75 and 1,774.38

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Solution

The fourth proportional to 3,266.48, 4,507.75 and 1,774.38 is: 2,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.48 : 4,507.75 = 1,774.38 : x
  2. Step 2: Convert to fraction form
    3,266.48/4,507.75 = 1,774.38/x
  3. Step 3: Cross multiply
    3,266.48x = 4,507.75 × 1,774.38
  4. Step 4: Simplify right side
    3,266.48x = 7,998,461.45
  5. Step 5: Solve for x
    x = 7,998,461.45/3,266.48
  6. Step 6: Final answer
    x = 2,448.65

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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.