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Finding the Fourth Proportional to 2,047.23, 3,070.94 and 566.55

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Solution

The fourth proportional to 2,047.23, 3,070.94 and 566.55 is: 849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.23 : 3,070.94 = 566.55 : x
  2. Step 2: Convert to fraction form
    2,047.23/3,070.94 = 566.55/x
  3. Step 3: Cross multiply
    2,047.23x = 3,070.94 × 566.55
  4. Step 4: Simplify right side
    2,047.23x = 1,739,838.22
  5. Step 5: Solve for x
    x = 1,739,838.22/2,047.23
  6. Step 6: Final answer
    x = 849.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.