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Finding the Fourth Proportional to 3,044.53, 4,564 and 1,096.26

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Solution

The fourth proportional to 3,044.53, 4,564 and 1,096.26 is: 1,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.53 : 4,564 = 1,096.26 : x
  2. Step 2: Convert to fraction form
    3,044.53/4,564 = 1,096.26/x
  3. Step 3: Cross multiply
    3,044.53x = 4,564 × 1,096.26
  4. Step 4: Simplify right side
    3,044.53x = 5,003,330.64
  5. Step 5: Solve for x
    x = 5,003,330.64/3,044.53
  6. Step 6: Final answer
    x = 1,643.38

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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.