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Finding the Fourth Proportional to 2,594.12, 3,891.15 and 646.31

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Solution

The fourth proportional to 2,594.12, 3,891.15 and 646.31 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.12 : 3,891.15 = 646.31 : x
  2. Step 2: Convert to fraction form
    2,594.12/3,891.15 = 646.31/x
  3. Step 3: Cross multiply
    2,594.12x = 3,891.15 × 646.31
  4. Step 4: Simplify right side
    2,594.12x = 2,514,898.88
  5. Step 5: Solve for x
    x = 2,514,898.88/2,594.12
  6. Step 6: Final answer
    x = 969.46

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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.