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Finding the Fourth Proportional to 1,975.86, 2,964.23 and 1,052.30

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Solution

The fourth proportional to 1,975.86, 2,964.23 and 1,052.30 is: 1,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.86 : 2,964.23 = 1,052.30 : x
  2. Step 2: Convert to fraction form
    1,975.86/2,964.23 = 1,052.30/x
  3. Step 3: Cross multiply
    1,975.86x = 2,964.23 × 1,052.30
  4. Step 4: Simplify right side
    1,975.86x = 3,119,239.15
  5. Step 5: Solve for x
    x = 3,119,239.15/1,975.86
  6. Step 6: Final answer
    x = 1,578.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.