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Finding the Fourth Proportional to 3,053.03, 4,213.22 and 1,655.78

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Solution

The fourth proportional to 3,053.03, 4,213.22 and 1,655.78 is: 2,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.03 : 4,213.22 = 1,655.78 : x
  2. Step 2: Convert to fraction form
    3,053.03/4,213.22 = 1,655.78/x
  3. Step 3: Cross multiply
    3,053.03x = 4,213.22 × 1,655.78
  4. Step 4: Simplify right side
    3,053.03x = 6,976,136.07
  5. Step 5: Solve for x
    x = 6,976,136.07/3,053.03
  6. Step 6: Final answer
    x = 2,284.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.