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Finding the Fourth Proportional to 2,594.61, 3,892.05 and 1,295.64

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Solution

The fourth proportional to 2,594.61, 3,892.05 and 1,295.64 is: 1,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.61 : 3,892.05 = 1,295.64 : x
  2. Step 2: Convert to fraction form
    2,594.61/3,892.05 = 1,295.64/x
  3. Step 3: Cross multiply
    2,594.61x = 3,892.05 × 1,295.64
  4. Step 4: Simplify right side
    2,594.61x = 5,042,695.66
  5. Step 5: Solve for x
    x = 5,042,695.66/2,594.61
  6. Step 6: Final answer
    x = 1,943.53

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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.