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Finding the Fourth Proportional to 2,054.04, 2,834.48 and 1,257.20

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Solution

The fourth proportional to 2,054.04, 2,834.48 and 1,257.20 is: 1,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.04 : 2,834.48 = 1,257.20 : x
  2. Step 2: Convert to fraction form
    2,054.04/2,834.48 = 1,257.20/x
  3. Step 3: Cross multiply
    2,054.04x = 2,834.48 × 1,257.20
  4. Step 4: Simplify right side
    2,054.04x = 3,563,508.26
  5. Step 5: Solve for x
    x = 3,563,508.26/2,054.04
  6. Step 6: Final answer
    x = 1,734.88

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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.