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Finding the Fourth Proportional to 4,297.44, 6,441.04 and 1,984

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Solution

The fourth proportional to 4,297.44, 6,441.04 and 1,984 is: 2,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.44 : 6,441.04 = 1,984 : x
  2. Step 2: Convert to fraction form
    4,297.44/6,441.04 = 1,984/x
  3. Step 3: Cross multiply
    4,297.44x = 6,441.04 × 1,984
  4. Step 4: Simplify right side
    4,297.44x = 12,779,023.36
  5. Step 5: Solve for x
    x = 12,779,023.36/4,297.44
  6. Step 6: Final answer
    x = 2,973.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.