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Finding the Fourth Proportional to 2,478.90, 3,696.45 and 2,456.64

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Solution

The fourth proportional to 2,478.90, 3,696.45 and 2,456.64 is: 3,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.90 : 3,696.45 = 2,456.64 : x
  2. Step 2: Convert to fraction form
    2,478.90/3,696.45 = 2,456.64/x
  3. Step 3: Cross multiply
    2,478.90x = 3,696.45 × 2,456.64
  4. Step 4: Simplify right side
    2,478.90x = 9,080,846.93
  5. Step 5: Solve for x
    x = 9,080,846.93/2,478.90
  6. Step 6: Final answer
    x = 3,663.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.