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Finding the Fourth Proportional to 1,884.74, 2,827.56 and 652.14

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Solution

The fourth proportional to 1,884.74, 2,827.56 and 652.14 is: 978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.74 : 2,827.56 = 652.14 : x
  2. Step 2: Convert to fraction form
    1,884.74/2,827.56 = 652.14/x
  3. Step 3: Cross multiply
    1,884.74x = 2,827.56 × 652.14
  4. Step 4: Simplify right side
    1,884.74x = 1,843,964.98
  5. Step 5: Solve for x
    x = 1,843,964.98/1,884.74
  6. Step 6: Final answer
    x = 978.37

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Why These Related Problems?

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