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Finding the Fourth Proportional to 2,466.72, 3,403.80 and 1,418.76

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Solution

The fourth proportional to 2,466.72, 3,403.80 and 1,418.76 is: 1,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.72 : 3,403.80 = 1,418.76 : x
  2. Step 2: Convert to fraction form
    2,466.72/3,403.80 = 1,418.76/x
  3. Step 3: Cross multiply
    2,466.72x = 3,403.80 × 1,418.76
  4. Step 4: Simplify right side
    2,466.72x = 4,829,175.29
  5. Step 5: Solve for x
    x = 4,829,175.29/2,466.72
  6. Step 6: Final answer
    x = 1,957.73

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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.