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Finding the Fourth Proportional to 4,603.66, 6,900.55 and 1,826.49

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Solution

The fourth proportional to 4,603.66, 6,900.55 and 1,826.49 is: 2,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.66 : 6,900.55 = 1,826.49 : x
  2. Step 2: Convert to fraction form
    4,603.66/6,900.55 = 1,826.49/x
  3. Step 3: Cross multiply
    4,603.66x = 6,900.55 × 1,826.49
  4. Step 4: Simplify right side
    4,603.66x = 12,603,785.57
  5. Step 5: Solve for x
    x = 12,603,785.57/4,603.66
  6. Step 6: Final answer
    x = 2,737.78

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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.