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Finding the Fourth Proportional to 2,971.77, 4,101.71 and 1,852.49

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Solution

The fourth proportional to 2,971.77, 4,101.71 and 1,852.49 is: 2,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.77 : 4,101.71 = 1,852.49 : x
  2. Step 2: Convert to fraction form
    2,971.77/4,101.71 = 1,852.49/x
  3. Step 3: Cross multiply
    2,971.77x = 4,101.71 × 1,852.49
  4. Step 4: Simplify right side
    2,971.77x = 7,598,382.05
  5. Step 5: Solve for x
    x = 7,598,382.05/2,971.77
  6. Step 6: Final answer
    x = 2,556.86

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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.