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Finding the Fourth Proportional to 2,723.65, 4,084.41 and 1,164.40

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Solution

The fourth proportional to 2,723.65, 4,084.41 and 1,164.40 is: 1,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.65 : 4,084.41 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    2,723.65/4,084.41 = 1,164.40/x
  3. Step 3: Cross multiply
    2,723.65x = 4,084.41 × 1,164.40
  4. Step 4: Simplify right side
    2,723.65x = 4,755,887.00
  5. Step 5: Solve for x
    x = 4,755,887.00/2,723.65
  6. Step 6: Final answer
    x = 1,746.14

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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.