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Finding the Fourth Proportional to 2,742.89, 4,114.33 and 894.00

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Solution

The fourth proportional to 2,742.89, 4,114.33 and 894.00 is: 1,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.89 : 4,114.33 = 894.00 : x
  2. Step 2: Convert to fraction form
    2,742.89/4,114.33 = 894.00/x
  3. Step 3: Cross multiply
    2,742.89x = 4,114.33 × 894.00
  4. Step 4: Simplify right side
    2,742.89x = 3,678,229.24
  5. Step 5: Solve for x
    x = 3,678,229.24/2,742.89
  6. Step 6: Final answer
    x = 1,341.00

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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.