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Finding the Fourth Proportional to 1,884.91, 2,826.69 and 652

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Solution

The fourth proportional to 1,884.91, 2,826.69 and 652 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.91 : 2,826.69 = 652 : x
  2. Step 2: Convert to fraction form
    1,884.91/2,826.69 = 652/x
  3. Step 3: Cross multiply
    1,884.91x = 2,826.69 × 652
  4. Step 4: Simplify right side
    1,884.91x = 1,843,001.88
  5. Step 5: Solve for x
    x = 1,843,001.88/1,884.91
  6. Step 6: Final answer
    x = 977.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.