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Finding the Fourth Proportional to 1,789.58, 2,681.03 and 1,596.53

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Solution

The fourth proportional to 1,789.58, 2,681.03 and 1,596.53 is: 2,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.58 : 2,681.03 = 1,596.53 : x
  2. Step 2: Convert to fraction form
    1,789.58/2,681.03 = 1,596.53/x
  3. Step 3: Cross multiply
    1,789.58x = 2,681.03 × 1,596.53
  4. Step 4: Simplify right side
    1,789.58x = 4,280,355.52
  5. Step 5: Solve for x
    x = 4,280,355.52/1,789.58
  6. Step 6: Final answer
    x = 2,391.82

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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.