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Finding the Fourth Proportional to 2,594.91, 3,580.95 and 1,415.97

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Solution

The fourth proportional to 2,594.91, 3,580.95 and 1,415.97 is: 1,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.91 : 3,580.95 = 1,415.97 : x
  2. Step 2: Convert to fraction form
    2,594.91/3,580.95 = 1,415.97/x
  3. Step 3: Cross multiply
    2,594.91x = 3,580.95 × 1,415.97
  4. Step 4: Simplify right side
    2,594.91x = 5,070,517.77
  5. Step 5: Solve for x
    x = 5,070,517.77/2,594.91
  6. Step 6: Final answer
    x = 1,954.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.