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Finding the Fourth Proportional to 3,053.17, 4,213.42 and 1,655.92

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Solution

The fourth proportional to 3,053.17, 4,213.42 and 1,655.92 is: 2,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.17 : 4,213.42 = 1,655.92 : x
  2. Step 2: Convert to fraction form
    3,053.17/4,213.42 = 1,655.92/x
  3. Step 3: Cross multiply
    3,053.17x = 4,213.42 × 1,655.92
  4. Step 4: Simplify right side
    3,053.17x = 6,977,086.45
  5. Step 5: Solve for x
    x = 6,977,086.45/3,053.17
  6. Step 6: Final answer
    x = 2,285.19

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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.