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Finding the Fourth Proportional to 4,782.96, 7,174.94 and 1,320.21

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Solution

The fourth proportional to 4,782.96, 7,174.94 and 1,320.21 is: 1,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.96 : 7,174.94 = 1,320.21 : x
  2. Step 2: Convert to fraction form
    4,782.96/7,174.94 = 1,320.21/x
  3. Step 3: Cross multiply
    4,782.96x = 7,174.94 × 1,320.21
  4. Step 4: Simplify right side
    4,782.96x = 9,472,420.94
  5. Step 5: Solve for x
    x = 9,472,420.94/4,782.96
  6. Step 6: Final answer
    x = 1,980.45

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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.