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Finding the Fourth Proportional to 1,927.90, 2,887.19 and 1,103.67

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Solution

The fourth proportional to 1,927.90, 2,887.19 and 1,103.67 is: 1,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.90 : 2,887.19 = 1,103.67 : x
  2. Step 2: Convert to fraction form
    1,927.90/2,887.19 = 1,103.67/x
  3. Step 3: Cross multiply
    1,927.90x = 2,887.19 × 1,103.67
  4. Step 4: Simplify right side
    1,927.90x = 3,186,504.99
  5. Step 5: Solve for x
    x = 3,186,504.99/1,927.90
  6. Step 6: Final answer
    x = 1,652.84

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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.