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Finding the Fourth Proportional to 2,466.49, 3,403.80 and 1,347.43

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Solution

The fourth proportional to 2,466.49, 3,403.80 and 1,347.43 is: 1,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.49 : 3,403.80 = 1,347.43 : x
  2. Step 2: Convert to fraction form
    2,466.49/3,403.80 = 1,347.43/x
  3. Step 3: Cross multiply
    2,466.49x = 3,403.80 × 1,347.43
  4. Step 4: Simplify right side
    2,466.49x = 4,586,382.23
  5. Step 5: Solve for x
    x = 4,586,382.23/2,466.49
  6. Step 6: Final answer
    x = 1,859.48

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