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Finding the Fourth Proportional to 2,126.52, 3,189.60 and 894

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Solution

The fourth proportional to 2,126.52, 3,189.60 and 894 is: 1,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.52 : 3,189.60 = 894 : x
  2. Step 2: Convert to fraction form
    2,126.52/3,189.60 = 894/x
  3. Step 3: Cross multiply
    2,126.52x = 3,189.60 × 894
  4. Step 4: Simplify right side
    2,126.52x = 2,851,502.40
  5. Step 5: Solve for x
    x = 2,851,502.40/2,126.52
  6. Step 6: Final answer
    x = 1,340.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.