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Finding the Fourth Proportional to 2,099.03, 2,897.79 and 1,471.47

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Solution

The fourth proportional to 2,099.03, 2,897.79 and 1,471.47 is: 2,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.03 : 2,897.79 = 1,471.47 : x
  2. Step 2: Convert to fraction form
    2,099.03/2,897.79 = 1,471.47/x
  3. Step 3: Cross multiply
    2,099.03x = 2,897.79 × 1,471.47
  4. Step 4: Simplify right side
    2,099.03x = 4,264,011.05
  5. Step 5: Solve for x
    x = 4,264,011.05/2,099.03
  6. Step 6: Final answer
    x = 2,031.42

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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.