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Finding the Fourth Proportional to 3,111.60, 4,668.23 and 1,264.00

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Solution

The fourth proportional to 3,111.60, 4,668.23 and 1,264.00 is: 1,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.60 : 4,668.23 = 1,264.00 : x
  2. Step 2: Convert to fraction form
    3,111.60/4,668.23 = 1,264.00/x
  3. Step 3: Cross multiply
    3,111.60x = 4,668.23 × 1,264.00
  4. Step 4: Simplify right side
    3,111.60x = 5,900,631.05
  5. Step 5: Solve for x
    x = 5,900,631.05/3,111.60
  6. Step 6: Final answer
    x = 1,896.33

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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.