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Finding the Fourth Proportional to 2,227.94, 3,341.94 and 584.66

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Solution

The fourth proportional to 2,227.94, 3,341.94 and 584.66 is: 877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.94 : 3,341.94 = 584.66 : x
  2. Step 2: Convert to fraction form
    2,227.94/3,341.94 = 584.66/x
  3. Step 3: Cross multiply
    2,227.94x = 3,341.94 × 584.66
  4. Step 4: Simplify right side
    2,227.94x = 1,953,898.64
  5. Step 5: Solve for x
    x = 1,953,898.64/2,227.94
  6. Step 6: Final answer
    x = 877.00

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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.