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Finding the Fourth Proportional to 2,478.93, 3,718.54 and 998.27

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Solution

The fourth proportional to 2,478.93, 3,718.54 and 998.27 is: 1,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.93 : 3,718.54 = 998.27 : x
  2. Step 2: Convert to fraction form
    2,478.93/3,718.54 = 998.27/x
  3. Step 3: Cross multiply
    2,478.93x = 3,718.54 × 998.27
  4. Step 4: Simplify right side
    2,478.93x = 3,712,093.07
  5. Step 5: Solve for x
    x = 3,712,093.07/2,478.93
  6. Step 6: Final answer
    x = 1,497.46

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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.