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Finding the Fourth Proportional to 2,972.24, 4,458.64 and 780.99

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Solution

The fourth proportional to 2,972.24, 4,458.64 and 780.99 is: 1,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.24 : 4,458.64 = 780.99 : x
  2. Step 2: Convert to fraction form
    2,972.24/4,458.64 = 780.99/x
  3. Step 3: Cross multiply
    2,972.24x = 4,458.64 × 780.99
  4. Step 4: Simplify right side
    2,972.24x = 3,482,153.25
  5. Step 5: Solve for x
    x = 3,482,153.25/2,972.24
  6. Step 6: Final answer
    x = 1,171.56

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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.