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Finding the Fourth Proportional to 2,047.79, 3,072.14 and 586.83

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Solution

The fourth proportional to 2,047.79, 3,072.14 and 586.83 is: 880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.79 : 3,072.14 = 586.83 : x
  2. Step 2: Convert to fraction form
    2,047.79/3,072.14 = 586.83/x
  3. Step 3: Cross multiply
    2,047.79x = 3,072.14 × 586.83
  4. Step 4: Simplify right side
    2,047.79x = 1,802,818.25
  5. Step 5: Solve for x
    x = 1,802,818.25/2,047.79
  6. Step 6: Final answer
    x = 880.37

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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.