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Finding the Fourth Proportional to 2,085.66, 3,128.31 and 1,263.69

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Solution

The fourth proportional to 2,085.66, 3,128.31 and 1,263.69 is: 1,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.66 : 3,128.31 = 1,263.69 : x
  2. Step 2: Convert to fraction form
    2,085.66/3,128.31 = 1,263.69/x
  3. Step 3: Cross multiply
    2,085.66x = 3,128.31 × 1,263.69
  4. Step 4: Simplify right side
    2,085.66x = 3,953,214.06
  5. Step 5: Solve for x
    x = 3,953,214.06/2,085.66
  6. Step 6: Final answer
    x = 1,895.43

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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.