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Finding the Fourth Proportional to 3,053.69, 4,214.09 and 1,656.44

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Solution

The fourth proportional to 3,053.69, 4,214.09 and 1,656.44 is: 2,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.69 : 4,214.09 = 1,656.44 : x
  2. Step 2: Convert to fraction form
    3,053.69/4,214.09 = 1,656.44/x
  3. Step 3: Cross multiply
    3,053.69x = 4,214.09 × 1,656.44
  4. Step 4: Simplify right side
    3,053.69x = 6,980,387.24
  5. Step 5: Solve for x
    x = 6,980,387.24/3,053.69
  6. Step 6: Final answer
    x = 2,285.89

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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.