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Finding the Fourth Proportional to 2,594.90, 3,580.97 and 1,415.99

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Solution

The fourth proportional to 2,594.90, 3,580.97 and 1,415.99 is: 1,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.90 : 3,580.97 = 1,415.99 : x
  2. Step 2: Convert to fraction form
    2,594.90/3,580.97 = 1,415.99/x
  3. Step 3: Cross multiply
    2,594.90x = 3,580.97 × 1,415.99
  4. Step 4: Simplify right side
    2,594.90x = 5,070,592.73
  5. Step 5: Solve for x
    x = 5,070,592.73/2,594.90
  6. Step 6: Final answer
    x = 1,954.06

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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.