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Finding the Fourth Proportional to 2,971.77, 4,100.42 and 2,015.02

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Solution

The fourth proportional to 2,971.77, 4,100.42 and 2,015.02 is: 2,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.77 : 4,100.42 = 2,015.02 : x
  2. Step 2: Convert to fraction form
    2,971.77/4,100.42 = 2,015.02/x
  3. Step 3: Cross multiply
    2,971.77x = 4,100.42 × 2,015.02
  4. Step 4: Simplify right side
    2,971.77x = 8,262,407.81
  5. Step 5: Solve for x
    x = 8,262,407.81/2,971.77
  6. Step 6: Final answer
    x = 2,780.30

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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.