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Finding the Fourth Proportional to 2,111.70, 3,167.53 and 572.70

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Solution

The fourth proportional to 2,111.70, 3,167.53 and 572.70 is: 859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.70 : 3,167.53 = 572.70 : x
  2. Step 2: Convert to fraction form
    2,111.70/3,167.53 = 572.70/x
  3. Step 3: Cross multiply
    2,111.70x = 3,167.53 × 572.70
  4. Step 4: Simplify right side
    2,111.70x = 1,814,044.43
  5. Step 5: Solve for x
    x = 1,814,044.43/2,111.70
  6. Step 6: Final answer
    x = 859.04

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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.