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Finding the Fourth Proportional to 1,789.90, 2,670.49 and 1,592.56

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Solution

The fourth proportional to 1,789.90, 2,670.49 and 1,592.56 is: 2,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.90 : 2,670.49 = 1,592.56 : x
  2. Step 2: Convert to fraction form
    1,789.90/2,670.49 = 1,592.56/x
  3. Step 3: Cross multiply
    1,789.90x = 2,670.49 × 1,592.56
  4. Step 4: Simplify right side
    1,789.90x = 4,252,915.55
  5. Step 5: Solve for x
    x = 4,252,915.55/1,789.90
  6. Step 6: Final answer
    x = 2,376.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.