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Finding the Fourth Proportional to 1,847.53, 2,781.28 and 1,684.05

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Solution

The fourth proportional to 1,847.53, 2,781.28 and 1,684.05 is: 2,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.53 : 2,781.28 = 1,684.05 : x
  2. Step 2: Convert to fraction form
    1,847.53/2,781.28 = 1,684.05/x
  3. Step 3: Cross multiply
    1,847.53x = 2,781.28 × 1,684.05
  4. Step 4: Simplify right side
    1,847.53x = 4,683,792.26
  5. Step 5: Solve for x
    x = 4,683,792.26/1,847.53
  6. Step 6: Final answer
    x = 2,535.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.