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Finding the Fourth Proportional to 4,020.66, 6,030.99 and 1,098.99

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Solution

The fourth proportional to 4,020.66, 6,030.99 and 1,098.99 is: 1,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.66 : 6,030.99 = 1,098.99 : x
  2. Step 2: Convert to fraction form
    4,020.66/6,030.99 = 1,098.99/x
  3. Step 3: Cross multiply
    4,020.66x = 6,030.99 × 1,098.99
  4. Step 4: Simplify right side
    4,020.66x = 6,627,997.70
  5. Step 5: Solve for x
    x = 6,627,997.70/4,020.66
  6. Step 6: Final answer
    x = 1,648.49

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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.