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Finding the Fourth Proportional to 1,984.32, 2,974.08 and 828.72

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Solution

The fourth proportional to 1,984.32, 2,974.08 and 828.72 is: 1,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.32 : 2,974.08 = 828.72 : x
  2. Step 2: Convert to fraction form
    1,984.32/2,974.08 = 828.72/x
  3. Step 3: Cross multiply
    1,984.32x = 2,974.08 × 828.72
  4. Step 4: Simplify right side
    1,984.32x = 2,464,679.58
  5. Step 5: Solve for x
    x = 2,464,679.58/1,984.32
  6. Step 6: Final answer
    x = 1,242.08

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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.