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Finding the Fourth Proportional to 1,978.45, 2,967.57 and 591.80

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Solution

The fourth proportional to 1,978.45, 2,967.57 and 591.80 is: 887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.45 : 2,967.57 = 591.80 : x
  2. Step 2: Convert to fraction form
    1,978.45/2,967.57 = 591.80/x
  3. Step 3: Cross multiply
    1,978.45x = 2,967.57 × 591.80
  4. Step 4: Simplify right side
    1,978.45x = 1,756,207.93
  5. Step 5: Solve for x
    x = 1,756,207.93/1,978.45
  6. Step 6: Final answer
    x = 887.67

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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.