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Finding the Fourth Proportional to 2,463.51, 3,696.74 and 982.47

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Solution

The fourth proportional to 2,463.51, 3,696.74 and 982.47 is: 1,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.51 : 3,696.74 = 982.47 : x
  2. Step 2: Convert to fraction form
    2,463.51/3,696.74 = 982.47/x
  3. Step 3: Cross multiply
    2,463.51x = 3,696.74 × 982.47
  4. Step 4: Simplify right side
    2,463.51x = 3,631,931.24
  5. Step 5: Solve for x
    x = 3,631,931.24/2,463.51
  6. Step 6: Final answer
    x = 1,474.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.