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Finding the Fourth Proportional to 2,029.69, 2,800.98 and 1,098.19

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Solution

The fourth proportional to 2,029.69, 2,800.98 and 1,098.19 is: 1,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.69 : 2,800.98 = 1,098.19 : x
  2. Step 2: Convert to fraction form
    2,029.69/2,800.98 = 1,098.19/x
  3. Step 3: Cross multiply
    2,029.69x = 2,800.98 × 1,098.19
  4. Step 4: Simplify right side
    2,029.69x = 3,076,001.22
  5. Step 5: Solve for x
    x = 3,076,001.22/2,029.69
  6. Step 6: Final answer
    x = 1,515.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.