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Finding the Fourth Proportional to 2,701.86, 4,048.74 and 2,084.64

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Solution

The fourth proportional to 2,701.86, 4,048.74 and 2,084.64 is: 3,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.86 : 4,048.74 = 2,084.64 : x
  2. Step 2: Convert to fraction form
    2,701.86/4,048.74 = 2,084.64/x
  3. Step 3: Cross multiply
    2,701.86x = 4,048.74 × 2,084.64
  4. Step 4: Simplify right side
    2,701.86x = 8,440,165.35
  5. Step 5: Solve for x
    x = 8,440,165.35/2,701.86
  6. Step 6: Final answer
    x = 3,123.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.