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Finding the Fourth Proportional to 1,846.00, 2,770.31 and 1,024.93

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Solution

The fourth proportional to 1,846.00, 2,770.31 and 1,024.93 is: 1,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.00 : 2,770.31 = 1,024.93 : x
  2. Step 2: Convert to fraction form
    1,846.00/2,770.31 = 1,024.93/x
  3. Step 3: Cross multiply
    1,846.00x = 2,770.31 × 1,024.93
  4. Step 4: Simplify right side
    1,846.00x = 2,839,369.46
  5. Step 5: Solve for x
    x = 2,839,369.46/1,846.00
  6. Step 6: Final answer
    x = 1,538.12

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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.