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Finding the Fourth Proportional to 2,047.78, 3,071.94 and 586.99

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Solution

The fourth proportional to 2,047.78, 3,071.94 and 586.99 is: 880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.78 : 3,071.94 = 586.99 : x
  2. Step 2: Convert to fraction form
    2,047.78/3,071.94 = 586.99/x
  3. Step 3: Cross multiply
    2,047.78x = 3,071.94 × 586.99
  4. Step 4: Simplify right side
    2,047.78x = 1,803,198.06
  5. Step 5: Solve for x
    x = 1,803,198.06/2,047.78
  6. Step 6: Final answer
    x = 880.56

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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.