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Finding the Fourth Proportional to 2,683.79, 3,705.01 and 2,084.93

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Solution

The fourth proportional to 2,683.79, 3,705.01 and 2,084.93 is: 2,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.79 : 3,705.01 = 2,084.93 : x
  2. Step 2: Convert to fraction form
    2,683.79/3,705.01 = 2,084.93/x
  3. Step 3: Cross multiply
    2,683.79x = 3,705.01 × 2,084.93
  4. Step 4: Simplify right side
    2,683.79x = 7,724,690.55
  5. Step 5: Solve for x
    x = 7,724,690.55/2,683.79
  6. Step 6: Final answer
    x = 2,878.28

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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.