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Finding the Fourth Proportional to 4,782.84, 7,174.28 and 1,320.09

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Solution

The fourth proportional to 4,782.84, 7,174.28 and 1,320.09 is: 1,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.84 : 7,174.28 = 1,320.09 : x
  2. Step 2: Convert to fraction form
    4,782.84/7,174.28 = 1,320.09/x
  3. Step 3: Cross multiply
    4,782.84x = 7,174.28 × 1,320.09
  4. Step 4: Simplify right side
    4,782.84x = 9,470,695.29
  5. Step 5: Solve for x
    x = 9,470,695.29/4,782.84
  6. Step 6: Final answer
    x = 1,980.14

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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.