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Finding the Fourth Proportional to 2,053.71, 2,834.24 and 1,214.91

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Solution

The fourth proportional to 2,053.71, 2,834.24 and 1,214.91 is: 1,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.71 : 2,834.24 = 1,214.91 : x
  2. Step 2: Convert to fraction form
    2,053.71/2,834.24 = 1,214.91/x
  3. Step 3: Cross multiply
    2,053.71x = 2,834.24 × 1,214.91
  4. Step 4: Simplify right side
    2,053.71x = 3,443,346.52
  5. Step 5: Solve for x
    x = 3,443,346.52/2,053.71
  6. Step 6: Final answer
    x = 1,676.65

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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.