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Finding the Fourth Proportional to 3,097.44, 4,644.72 and 1,044

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Solution

The fourth proportional to 3,097.44, 4,644.72 and 1,044 is: 1,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.44 : 4,644.72 = 1,044 : x
  2. Step 2: Convert to fraction form
    3,097.44/4,644.72 = 1,044/x
  3. Step 3: Cross multiply
    3,097.44x = 4,644.72 × 1,044
  4. Step 4: Simplify right side
    3,097.44x = 4,849,087.68
  5. Step 5: Solve for x
    x = 4,849,087.68/3,097.44
  6. Step 6: Final answer
    x = 1,565.51

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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.