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Finding the Fourth Proportional to 2,111.84, 3,167.58 and 572.84

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Solution

The fourth proportional to 2,111.84, 3,167.58 and 572.84 is: 859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.84 : 3,167.58 = 572.84 : x
  2. Step 2: Convert to fraction form
    2,111.84/3,167.58 = 572.84/x
  3. Step 3: Cross multiply
    2,111.84x = 3,167.58 × 572.84
  4. Step 4: Simplify right side
    2,111.84x = 1,814,516.53
  5. Step 5: Solve for x
    x = 1,814,516.53/2,111.84
  6. Step 6: Final answer
    x = 859.21

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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.