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Finding the Fourth Proportional to 2,111.06, 3,166.61 and 572.06

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Solution

The fourth proportional to 2,111.06, 3,166.61 and 572.06 is: 858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.06 : 3,166.61 = 572.06 : x
  2. Step 2: Convert to fraction form
    2,111.06/3,166.61 = 572.06/x
  3. Step 3: Cross multiply
    2,111.06x = 3,166.61 × 572.06
  4. Step 4: Simplify right side
    2,111.06x = 1,811,495.97
  5. Step 5: Solve for x
    x = 1,811,495.97/2,111.06
  6. Step 6: Final answer
    x = 858.10

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1.5x scale

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.