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Finding the Fourth Proportional to 2,126.61, 3,190.05 and 566.60

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Solution

The fourth proportional to 2,126.61, 3,190.05 and 566.60 is: 849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.61 : 3,190.05 = 566.60 : x
  2. Step 2: Convert to fraction form
    2,126.61/3,190.05 = 566.60/x
  3. Step 3: Cross multiply
    2,126.61x = 3,190.05 × 566.60
  4. Step 4: Simplify right side
    2,126.61x = 1,807,466.38
  5. Step 5: Solve for x
    x = 1,807,466.38/2,126.61
  6. Step 6: Final answer
    x = 849.93

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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.