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Finding the Fourth Proportional to 2,491.31, 3,733.95 and 1,103.07

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Solution

The fourth proportional to 2,491.31, 3,733.95 and 1,103.07 is: 1,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.31 : 3,733.95 = 1,103.07 : x
  2. Step 2: Convert to fraction form
    2,491.31/3,733.95 = 1,103.07/x
  3. Step 3: Cross multiply
    2,491.31x = 3,733.95 × 1,103.07
  4. Step 4: Simplify right side
    2,491.31x = 4,118,808.23
  5. Step 5: Solve for x
    x = 4,118,808.23/2,491.31
  6. Step 6: Final answer
    x = 1,653.27

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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.