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Finding the Fourth Proportional to 2,585.31, 3,877.40 and 829.84

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Solution

The fourth proportional to 2,585.31, 3,877.40 and 829.84 is: 1,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.31 : 3,877.40 = 829.84 : x
  2. Step 2: Convert to fraction form
    2,585.31/3,877.40 = 829.84/x
  3. Step 3: Cross multiply
    2,585.31x = 3,877.40 × 829.84
  4. Step 4: Simplify right side
    2,585.31x = 3,217,614.00
  5. Step 5: Solve for x
    x = 3,217,614.00/2,585.31
  6. Step 6: Final answer
    x = 1,244.58

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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.