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Finding the Fourth Proportional to 3,061.86, 4,601.07 and 1,602.09

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Solution

The fourth proportional to 3,061.86, 4,601.07 and 1,602.09 is: 2,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.86 : 4,601.07 = 1,602.09 : x
  2. Step 2: Convert to fraction form
    3,061.86/4,601.07 = 1,602.09/x
  3. Step 3: Cross multiply
    3,061.86x = 4,601.07 × 1,602.09
  4. Step 4: Simplify right side
    3,061.86x = 7,371,328.24
  5. Step 5: Solve for x
    x = 7,371,328.24/3,061.86
  6. Step 6: Final answer
    x = 2,407.47

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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.