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Finding the Fourth Proportional to 2,065.34, 2,846.32 and 1,402.22

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Solution

The fourth proportional to 2,065.34, 2,846.32 and 1,402.22 is: 1,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.34 : 2,846.32 = 1,402.22 : x
  2. Step 2: Convert to fraction form
    2,065.34/2,846.32 = 1,402.22/x
  3. Step 3: Cross multiply
    2,065.34x = 2,846.32 × 1,402.22
  4. Step 4: Simplify right side
    2,065.34x = 3,991,149.09
  5. Step 5: Solve for x
    x = 3,991,149.09/2,065.34
  6. Step 6: Final answer
    x = 1,932.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.