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Finding the Fourth Proportional to 1,784.63, 2,462.78 and 998.68

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Solution

The fourth proportional to 1,784.63, 2,462.78 and 998.68 is: 1,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.63 : 2,462.78 = 998.68 : x
  2. Step 2: Convert to fraction form
    1,784.63/2,462.78 = 998.68/x
  3. Step 3: Cross multiply
    1,784.63x = 2,462.78 × 998.68
  4. Step 4: Simplify right side
    1,784.63x = 2,459,525.47
  5. Step 5: Solve for x
    x = 2,459,525.47/1,784.63
  6. Step 6: Final answer
    x = 1,378.17

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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.