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Finding the Fourth Proportional to 2,558.88, 3,835.44 and 1,188

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Solution

The fourth proportional to 2,558.88, 3,835.44 and 1,188 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.88 : 3,835.44 = 1,188 : x
  2. Step 2: Convert to fraction form
    2,558.88/3,835.44 = 1,188/x
  3. Step 3: Cross multiply
    2,558.88x = 3,835.44 × 1,188
  4. Step 4: Simplify right side
    2,558.88x = 4,556,502.72
  5. Step 5: Solve for x
    x = 4,556,502.72/2,558.88
  6. Step 6: Final answer
    x = 1,780.66

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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.