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Finding the Fourth Proportional to 3,044.31, 4,566.47 and 735.81

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Solution

The fourth proportional to 3,044.31, 4,566.47 and 735.81 is: 1,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.31 : 4,566.47 = 735.81 : x
  2. Step 2: Convert to fraction form
    3,044.31/4,566.47 = 735.81/x
  3. Step 3: Cross multiply
    3,044.31x = 4,566.47 × 735.81
  4. Step 4: Simplify right side
    3,044.31x = 3,360,054.29
  5. Step 5: Solve for x
    x = 3,360,054.29/3,044.31
  6. Step 6: Final answer
    x = 1,103.72

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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.