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Finding the Fourth Proportional to 1,870.74, 2,584.44 and 1,593.86

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Solution

The fourth proportional to 1,870.74, 2,584.44 and 1,593.86 is: 2,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.74 : 2,584.44 = 1,593.86 : x
  2. Step 2: Convert to fraction form
    1,870.74/2,584.44 = 1,593.86/x
  3. Step 3: Cross multiply
    1,870.74x = 2,584.44 × 1,593.86
  4. Step 4: Simplify right side
    1,870.74x = 4,119,222.62
  5. Step 5: Solve for x
    x = 4,119,222.62/1,870.74
  6. Step 6: Final answer
    x = 2,201.92

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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.