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Finding the Fourth Proportional to 2,126.96, 3,190.64 and 894.20

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Solution

The fourth proportional to 2,126.96, 3,190.64 and 894.20 is: 1,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.96 : 3,190.64 = 894.20 : x
  2. Step 2: Convert to fraction form
    2,126.96/3,190.64 = 894.20/x
  3. Step 3: Cross multiply
    2,126.96x = 3,190.64 × 894.20
  4. Step 4: Simplify right side
    2,126.96x = 2,853,070.29
  5. Step 5: Solve for x
    x = 2,853,070.29/2,126.96
  6. Step 6: Final answer
    x = 1,341.38

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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.