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Finding the Fourth Proportional to 2,076.86, 2,871.48 and 1,985.06

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Solution

The fourth proportional to 2,076.86, 2,871.48 and 1,985.06 is: 2,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.86 : 2,871.48 = 1,985.06 : x
  2. Step 2: Convert to fraction form
    2,076.86/2,871.48 = 1,985.06/x
  3. Step 3: Cross multiply
    2,076.86x = 2,871.48 × 1,985.06
  4. Step 4: Simplify right side
    2,076.86x = 5,700,060.09
  5. Step 5: Solve for x
    x = 5,700,060.09/2,076.86
  6. Step 6: Final answer
    x = 2,744.56

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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.