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Finding the Fourth Proportional to 2,089.74, 2,877.76 and 1,956.18

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Solution

The fourth proportional to 2,089.74, 2,877.76 and 1,956.18 is: 2,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.74 : 2,877.76 = 1,956.18 : x
  2. Step 2: Convert to fraction form
    2,089.74/2,877.76 = 1,956.18/x
  3. Step 3: Cross multiply
    2,089.74x = 2,877.76 × 1,956.18
  4. Step 4: Simplify right side
    2,089.74x = 5,629,406.27
  5. Step 5: Solve for x
    x = 5,629,406.27/2,089.74
  6. Step 6: Final answer
    x = 2,693.84

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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.