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Finding the Fourth Proportional to 2,054.34, 2,834.90 and 1,122.84

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Solution

The fourth proportional to 2,054.34, 2,834.90 and 1,122.84 is: 1,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.34 : 2,834.90 = 1,122.84 : x
  2. Step 2: Convert to fraction form
    2,054.34/2,834.90 = 1,122.84/x
  3. Step 3: Cross multiply
    2,054.34x = 2,834.90 × 1,122.84
  4. Step 4: Simplify right side
    2,054.34x = 3,183,139.12
  5. Step 5: Solve for x
    x = 3,183,139.12/2,054.34
  6. Step 6: Final answer
    x = 1,549.47

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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.