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Finding the Fourth Proportional to 1,818.07, 2,725.74 and 584.77

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Solution

The fourth proportional to 1,818.07, 2,725.74 and 584.77 is: 876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.07 : 2,725.74 = 584.77 : x
  2. Step 2: Convert to fraction form
    1,818.07/2,725.74 = 584.77/x
  3. Step 3: Cross multiply
    1,818.07x = 2,725.74 × 584.77
  4. Step 4: Simplify right side
    1,818.07x = 1,593,930.98
  5. Step 5: Solve for x
    x = 1,593,930.98/1,818.07
  6. Step 6: Final answer
    x = 876.72

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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.