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Finding the Fourth Proportional to 4,784.44, 7,175.84 and 1,320.88

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Solution

The fourth proportional to 4,784.44, 7,175.84 and 1,320.88 is: 1,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.44 : 7,175.84 = 1,320.88 : x
  2. Step 2: Convert to fraction form
    4,784.44/7,175.84 = 1,320.88/x
  3. Step 3: Cross multiply
    4,784.44x = 7,175.84 × 1,320.88
  4. Step 4: Simplify right side
    4,784.44x = 9,478,387.66
  5. Step 5: Solve for x
    x = 9,478,387.66/4,784.44
  6. Step 6: Final answer
    x = 1,981.09

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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.