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Finding the Fourth Proportional to 2,407.83, 3,611.74 and 1,545.99

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Solution

The fourth proportional to 2,407.83, 3,611.74 and 1,545.99 is: 2,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.83 : 3,611.74 = 1,545.99 : x
  2. Step 2: Convert to fraction form
    2,407.83/3,611.74 = 1,545.99/x
  3. Step 3: Cross multiply
    2,407.83x = 3,611.74 × 1,545.99
  4. Step 4: Simplify right side
    2,407.83x = 5,583,713.92
  5. Step 5: Solve for x
    x = 5,583,713.92/2,407.83
  6. Step 6: Final answer
    x = 2,318.98

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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.