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Finding the Fourth Proportional to 3,057.66, 4,586.48 and 1,413.90

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Solution

The fourth proportional to 3,057.66, 4,586.48 and 1,413.90 is: 2,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.66 : 4,586.48 = 1,413.90 : x
  2. Step 2: Convert to fraction form
    3,057.66/4,586.48 = 1,413.90/x
  3. Step 3: Cross multiply
    3,057.66x = 4,586.48 × 1,413.90
  4. Step 4: Simplify right side
    3,057.66x = 6,484,824.07
  5. Step 5: Solve for x
    x = 6,484,824.07/3,057.66
  6. Step 6: Final answer
    x = 2,120.85

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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.