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Finding the Fourth Proportional to 1,822.14, 2,729.10 and 846.19

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Solution

The fourth proportional to 1,822.14, 2,729.10 and 846.19 is: 1,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.14 : 2,729.10 = 846.19 : x
  2. Step 2: Convert to fraction form
    1,822.14/2,729.10 = 846.19/x
  3. Step 3: Cross multiply
    1,822.14x = 2,729.10 × 846.19
  4. Step 4: Simplify right side
    1,822.14x = 2,309,330.31
  5. Step 5: Solve for x
    x = 2,309,330.31/1,822.14
  6. Step 6: Final answer
    x = 1,267.37

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1.5x scale

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.