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Finding the Fourth Proportional to 1,890.96, 2,832.48 and 1,523.76

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Solution

The fourth proportional to 1,890.96, 2,832.48 and 1,523.76 is: 2,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.96 : 2,832.48 = 1,523.76 : x
  2. Step 2: Convert to fraction form
    1,890.96/2,832.48 = 1,523.76/x
  3. Step 3: Cross multiply
    1,890.96x = 2,832.48 × 1,523.76
  4. Step 4: Simplify right side
    1,890.96x = 4,316,019.72
  5. Step 5: Solve for x
    x = 4,316,019.72/1,890.96
  6. Step 6: Final answer
    x = 2,282.45

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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.