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Finding the Fourth Proportional to 1,885.76, 2,829.95 and 775.25

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Solution

The fourth proportional to 1,885.76, 2,829.95 and 775.25 is: 1,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.76 : 2,829.95 = 775.25 : x
  2. Step 2: Convert to fraction form
    1,885.76/2,829.95 = 775.25/x
  3. Step 3: Cross multiply
    1,885.76x = 2,829.95 × 775.25
  4. Step 4: Simplify right side
    1,885.76x = 2,193,914.86
  5. Step 5: Solve for x
    x = 2,193,914.86/1,885.76
  6. Step 6: Final answer
    x = 1,163.41

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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.