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Finding the Fourth Proportional to 2,054.02, 2,834.82 and 1,424.22

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Solution

The fourth proportional to 2,054.02, 2,834.82 and 1,424.22 is: 1,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.02 : 2,834.82 = 1,424.22 : x
  2. Step 2: Convert to fraction form
    2,054.02/2,834.82 = 1,424.22/x
  3. Step 3: Cross multiply
    2,054.02x = 2,834.82 × 1,424.22
  4. Step 4: Simplify right side
    2,054.02x = 4,037,407.34
  5. Step 5: Solve for x
    x = 4,037,407.34/2,054.02
  6. Step 6: Final answer
    x = 1,965.61

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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.