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Finding the Fourth Proportional to 1,976.42, 2,964.20 and 589.52

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Solution

The fourth proportional to 1,976.42, 2,964.20 and 589.52 is: 884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.42 : 2,964.20 = 589.52 : x
  2. Step 2: Convert to fraction form
    1,976.42/2,964.20 = 589.52/x
  3. Step 3: Cross multiply
    1,976.42x = 2,964.20 × 589.52
  4. Step 4: Simplify right side
    1,976.42x = 1,747,437.42
  5. Step 5: Solve for x
    x = 1,747,437.42/1,976.42
  6. Step 6: Final answer
    x = 884.14

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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.