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Finding the Fourth Proportional to 1,976.37, 2,964.57 and 589.70

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Solution

The fourth proportional to 1,976.37, 2,964.57 and 589.70 is: 884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.37 : 2,964.57 = 589.70 : x
  2. Step 2: Convert to fraction form
    1,976.37/2,964.57 = 589.70/x
  3. Step 3: Cross multiply
    1,976.37x = 2,964.57 × 589.70
  4. Step 4: Simplify right side
    1,976.37x = 1,748,192.11
  5. Step 5: Solve for x
    x = 1,748,192.11/1,976.37
  6. Step 6: Final answer
    x = 884.55

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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.