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Finding the Fourth Proportional to 2,981.54, 4,113.77 and 1,802.39

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Solution

The fourth proportional to 2,981.54, 4,113.77 and 1,802.39 is: 2,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.54 : 4,113.77 = 1,802.39 : x
  2. Step 2: Convert to fraction form
    2,981.54/4,113.77 = 1,802.39/x
  3. Step 3: Cross multiply
    2,981.54x = 4,113.77 × 1,802.39
  4. Step 4: Simplify right side
    2,981.54x = 7,414,588.33
  5. Step 5: Solve for x
    x = 7,414,588.33/2,981.54
  6. Step 6: Final answer
    x = 2,486.84

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Why These Related Problems?

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