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Finding the Fourth Proportional to 3,053.80, 4,214.02 and 1,727.64

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Solution

The fourth proportional to 3,053.80, 4,214.02 and 1,727.64 is: 2,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.80 : 4,214.02 = 1,727.64 : x
  2. Step 2: Convert to fraction form
    3,053.80/4,214.02 = 1,727.64/x
  3. Step 3: Cross multiply
    3,053.80x = 4,214.02 × 1,727.64
  4. Step 4: Simplify right side
    3,053.80x = 7,280,309.51
  5. Step 5: Solve for x
    x = 7,280,309.51/3,053.80
  6. Step 6: Final answer
    x = 2,384.02

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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.