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Finding the Fourth Proportional to 2,683.59, 3,705.06 and 2,187.40

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Solution

The fourth proportional to 2,683.59, 3,705.06 and 2,187.40 is: 3,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.59 : 3,705.06 = 2,187.40 : x
  2. Step 2: Convert to fraction form
    2,683.59/3,705.06 = 2,187.40/x
  3. Step 3: Cross multiply
    2,683.59x = 3,705.06 × 2,187.40
  4. Step 4: Simplify right side
    2,683.59x = 8,104,448.24
  5. Step 5: Solve for x
    x = 8,104,448.24/2,683.59
  6. Step 6: Final answer
    x = 3,020.00

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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.