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Finding the Fourth Proportional to 1,188.40, 1,782.60 and 1,136.56

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Solution

The fourth proportional to 1,188.40, 1,782.60 and 1,136.56 is: 1,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.40 : 1,782.60 = 1,136.56 : x
  2. Step 2: Convert to fraction form
    1,188.40/1,782.60 = 1,136.56/x
  3. Step 3: Cross multiply
    1,188.40x = 1,782.60 × 1,136.56
  4. Step 4: Simplify right side
    1,188.40x = 2,026,031.86
  5. Step 5: Solve for x
    x = 2,026,031.86/1,188.40
  6. Step 6: Final answer
    x = 1,704.84

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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.