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Finding the Fourth Proportional to 1,847.85, 2,550.65 and 1,102.05

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Solution

The fourth proportional to 1,847.85, 2,550.65 and 1,102.05 is: 1,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.85 : 2,550.65 = 1,102.05 : x
  2. Step 2: Convert to fraction form
    1,847.85/2,550.65 = 1,102.05/x
  3. Step 3: Cross multiply
    1,847.85x = 2,550.65 × 1,102.05
  4. Step 4: Simplify right side
    1,847.85x = 2,810,938.32
  5. Step 5: Solve for x
    x = 2,810,938.32/1,847.85
  6. Step 6: Final answer
    x = 1,521.19

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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.