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Finding the Fourth Proportional to 2,126.83, 3,189.53 and 894.01

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Solution

The fourth proportional to 2,126.83, 3,189.53 and 894.01 is: 1,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.83 : 3,189.53 = 894.01 : x
  2. Step 2: Convert to fraction form
    2,126.83/3,189.53 = 894.01/x
  3. Step 3: Cross multiply
    2,126.83x = 3,189.53 × 894.01
  4. Step 4: Simplify right side
    2,126.83x = 2,851,465.98
  5. Step 5: Solve for x
    x = 2,851,465.98/2,126.83
  6. Step 6: Final answer
    x = 1,340.71

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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.