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Finding the Fourth Proportional to 1,720.86, 2,581.43 and 1,032.23

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Solution

The fourth proportional to 1,720.86, 2,581.43 and 1,032.23 is: 1,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.86 : 2,581.43 = 1,032.23 : x
  2. Step 2: Convert to fraction form
    1,720.86/2,581.43 = 1,032.23/x
  3. Step 3: Cross multiply
    1,720.86x = 2,581.43 × 1,032.23
  4. Step 4: Simplify right side
    1,720.86x = 2,664,611.42
  5. Step 5: Solve for x
    x = 2,664,611.42/1,720.86
  6. Step 6: Final answer
    x = 1,548.42

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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.