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Finding the Fourth Proportional to 2,973.28, 4,459.94 and 782.22

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Solution

The fourth proportional to 2,973.28, 4,459.94 and 782.22 is: 1,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.28 : 4,459.94 = 782.22 : x
  2. Step 2: Convert to fraction form
    2,973.28/4,459.94 = 782.22/x
  3. Step 3: Cross multiply
    2,973.28x = 4,459.94 × 782.22
  4. Step 4: Simplify right side
    2,973.28x = 3,488,654.27
  5. Step 5: Solve for x
    x = 3,488,654.27/2,973.28
  6. Step 6: Final answer
    x = 1,173.34

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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.