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Finding the Fourth Proportional to 3,266.53, 4,507.86 and 1,774.48

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Solution

The fourth proportional to 3,266.53, 4,507.86 and 1,774.48 is: 2,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.53 : 4,507.86 = 1,774.48 : x
  2. Step 2: Convert to fraction form
    3,266.53/4,507.86 = 1,774.48/x
  3. Step 3: Cross multiply
    3,266.53x = 4,507.86 × 1,774.48
  4. Step 4: Simplify right side
    3,266.53x = 7,999,088.59
  5. Step 5: Solve for x
    x = 7,999,088.59/3,266.53
  6. Step 6: Final answer
    x = 2,448.80

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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.