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Finding the Fourth Proportional to 2,047.20, 3,070.79 and 586.36

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Solution

The fourth proportional to 2,047.20, 3,070.79 and 586.36 is: 879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.20 : 3,070.79 = 586.36 : x
  2. Step 2: Convert to fraction form
    2,047.20/3,070.79 = 586.36/x
  3. Step 3: Cross multiply
    2,047.20x = 3,070.79 × 586.36
  4. Step 4: Simplify right side
    2,047.20x = 1,800,577.82
  5. Step 5: Solve for x
    x = 1,800,577.82/2,047.20
  6. Step 6: Final answer
    x = 879.53

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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.