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Finding the Fourth Proportional to 2,041.86, 3,060.03 and 1,463.46

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Solution

The fourth proportional to 2,041.86, 3,060.03 and 1,463.46 is: 2,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.86 : 3,060.03 = 1,463.46 : x
  2. Step 2: Convert to fraction form
    2,041.86/3,060.03 = 1,463.46/x
  3. Step 3: Cross multiply
    2,041.86x = 3,060.03 × 1,463.46
  4. Step 4: Simplify right side
    2,041.86x = 4,478,231.50
  5. Step 5: Solve for x
    x = 4,478,231.50/2,041.86
  6. Step 6: Final answer
    x = 2,193.21

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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.