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Finding the Fourth Proportional to 2,054.10, 2,834.02 and 1,214.88

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Solution

The fourth proportional to 2,054.10, 2,834.02 and 1,214.88 is: 1,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.10 : 2,834.02 = 1,214.88 : x
  2. Step 2: Convert to fraction form
    2,054.10/2,834.02 = 1,214.88/x
  3. Step 3: Cross multiply
    2,054.10x = 2,834.02 × 1,214.88
  4. Step 4: Simplify right side
    2,054.10x = 3,442,994.22
  5. Step 5: Solve for x
    x = 3,442,994.22/2,054.10
  6. Step 6: Final answer
    x = 1,676.16

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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.