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Finding the Fourth Proportional to 2,047.89, 3,070.94 and 586.71

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Solution

The fourth proportional to 2,047.89, 3,070.94 and 586.71 is: 879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.89 : 3,070.94 = 586.71 : x
  2. Step 2: Convert to fraction form
    2,047.89/3,070.94 = 586.71/x
  3. Step 3: Cross multiply
    2,047.89x = 3,070.94 × 586.71
  4. Step 4: Simplify right side
    2,047.89x = 1,801,748.27
  5. Step 5: Solve for x
    x = 1,801,748.27/2,047.89
  6. Step 6: Final answer
    x = 879.81

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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.