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Finding the Fourth Proportional to 1,986.42, 2,973.24 and 1,059.66

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Solution

The fourth proportional to 1,986.42, 2,973.24 and 1,059.66 is: 1,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.42 : 2,973.24 = 1,059.66 : x
  2. Step 2: Convert to fraction form
    1,986.42/2,973.24 = 1,059.66/x
  3. Step 3: Cross multiply
    1,986.42x = 2,973.24 × 1,059.66
  4. Step 4: Simplify right side
    1,986.42x = 3,150,623.50
  5. Step 5: Solve for x
    x = 3,150,623.50/1,986.42
  6. Step 6: Final answer
    x = 1,586.08

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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.