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Finding the Fourth Proportional to 1,846.31, 2,767.03 and 1,024.16

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Solution

The fourth proportional to 1,846.31, 2,767.03 and 1,024.16 is: 1,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.31 : 2,767.03 = 1,024.16 : x
  2. Step 2: Convert to fraction form
    1,846.31/2,767.03 = 1,024.16/x
  3. Step 3: Cross multiply
    1,846.31x = 2,767.03 × 1,024.16
  4. Step 4: Simplify right side
    1,846.31x = 2,833,881.44
  5. Step 5: Solve for x
    x = 2,833,881.44/1,846.31
  6. Step 6: Final answer
    x = 1,534.89

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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.