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Finding the Fourth Proportional to 1,461.32, 2,191.02 and 812.54

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Solution

The fourth proportional to 1,461.32, 2,191.02 and 812.54 is: 1,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.32 : 2,191.02 = 812.54 : x
  2. Step 2: Convert to fraction form
    1,461.32/2,191.02 = 812.54/x
  3. Step 3: Cross multiply
    1,461.32x = 2,191.02 × 812.54
  4. Step 4: Simplify right side
    1,461.32x = 1,780,291.39
  5. Step 5: Solve for x
    x = 1,780,291.39/1,461.32
  6. Step 6: Final answer
    x = 1,218.28

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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.