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Finding the Fourth Proportional to 2,971.93, 4,101.95 and 1,977.25

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Solution

The fourth proportional to 2,971.93, 4,101.95 and 1,977.25 is: 2,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.93 : 4,101.95 = 1,977.25 : x
  2. Step 2: Convert to fraction form
    2,971.93/4,101.95 = 1,977.25/x
  3. Step 3: Cross multiply
    2,971.93x = 4,101.95 × 1,977.25
  4. Step 4: Simplify right side
    2,971.93x = 8,110,550.24
  5. Step 5: Solve for x
    x = 8,110,550.24/2,971.93
  6. Step 6: Final answer
    x = 2,729.06

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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.