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Finding the Fourth Proportional to 2,466.46, 3,404.19 and 1,583.38

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Solution

The fourth proportional to 2,466.46, 3,404.19 and 1,583.38 is: 2,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.46 : 3,404.19 = 1,583.38 : x
  2. Step 2: Convert to fraction form
    2,466.46/3,404.19 = 1,583.38/x
  3. Step 3: Cross multiply
    2,466.46x = 3,404.19 × 1,583.38
  4. Step 4: Simplify right side
    2,466.46x = 5,390,126.36
  5. Step 5: Solve for x
    x = 5,390,126.36/2,466.46
  6. Step 6: Final answer
    x = 2,185.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.