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Finding the Fourth Proportional to 1,784.64, 2,462.64 and 998.64

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Solution

The fourth proportional to 1,784.64, 2,462.64 and 998.64 is: 1,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.64 : 2,462.64 = 998.64 : x
  2. Step 2: Convert to fraction form
    1,784.64/2,462.64 = 998.64/x
  3. Step 3: Cross multiply
    1,784.64x = 2,462.64 × 998.64
  4. Step 4: Simplify right side
    1,784.64x = 2,459,290.81
  5. Step 5: Solve for x
    x = 2,459,290.81/1,784.64
  6. Step 6: Final answer
    x = 1,378.03

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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.