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Finding the Fourth Proportional to 2,830.98, 3,906.73 and 1,572.01

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Solution

The fourth proportional to 2,830.98, 3,906.73 and 1,572.01 is: 2,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.98 : 3,906.73 = 1,572.01 : x
  2. Step 2: Convert to fraction form
    2,830.98/3,906.73 = 1,572.01/x
  3. Step 3: Cross multiply
    2,830.98x = 3,906.73 × 1,572.01
  4. Step 4: Simplify right side
    2,830.98x = 6,141,410.83
  5. Step 5: Solve for x
    x = 6,141,410.83/2,830.98
  6. Step 6: Final answer
    x = 2,169.36

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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.