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Finding the Fourth Proportional to 3,202.61, 4,804.32 and 1,557.77

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Solution

The fourth proportional to 3,202.61, 4,804.32 and 1,557.77 is: 2,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.61 : 4,804.32 = 1,557.77 : x
  2. Step 2: Convert to fraction form
    3,202.61/4,804.32 = 1,557.77/x
  3. Step 3: Cross multiply
    3,202.61x = 4,804.32 × 1,557.77
  4. Step 4: Simplify right side
    3,202.61x = 7,484,025.57
  5. Step 5: Solve for x
    x = 7,484,025.57/3,202.61
  6. Step 6: Final answer
    x = 2,336.85

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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.