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Finding the Fourth Proportional to 2,466.98, 3,403.55 and 1,583.27

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Solution

The fourth proportional to 2,466.98, 3,403.55 and 1,583.27 is: 2,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.98 : 3,403.55 = 1,583.27 : x
  2. Step 2: Convert to fraction form
    2,466.98/3,403.55 = 1,583.27/x
  3. Step 3: Cross multiply
    2,466.98x = 3,403.55 × 1,583.27
  4. Step 4: Simplify right side
    2,466.98x = 5,388,738.61
  5. Step 5: Solve for x
    x = 5,388,738.61/2,466.98
  6. Step 6: Final answer
    x = 2,184.35

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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.