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Finding the Fourth Proportional to 2,466.33, 3,402.93 and 1,583.33

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Solution

The fourth proportional to 2,466.33, 3,402.93 and 1,583.33 is: 2,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.33 : 3,402.93 = 1,583.33 : x
  2. Step 2: Convert to fraction form
    2,466.33/3,402.93 = 1,583.33/x
  3. Step 3: Cross multiply
    2,466.33x = 3,402.93 × 1,583.33
  4. Step 4: Simplify right side
    2,466.33x = 5,387,960.31
  5. Step 5: Solve for x
    x = 5,387,960.31/2,466.33
  6. Step 6: Final answer
    x = 2,184.60

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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.