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Finding the Fourth Proportional to 2,030.46, 3,046 and 731.63

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Solution

The fourth proportional to 2,030.46, 3,046 and 731.63 is: 1,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.46 : 3,046 = 731.63 : x
  2. Step 2: Convert to fraction form
    2,030.46/3,046 = 731.63/x
  3. Step 3: Cross multiply
    2,030.46x = 3,046 × 731.63
  4. Step 4: Simplify right side
    2,030.46x = 2,228,544.98
  5. Step 5: Solve for x
    x = 2,228,544.98/2,030.46
  6. Step 6: Final answer
    x = 1,097.56

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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.