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Finding the Fourth Proportional to 2,405.66, 3,607.26 and 1,106

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Solution

The fourth proportional to 2,405.66, 3,607.26 and 1,106 is: 1,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.66 : 3,607.26 = 1,106 : x
  2. Step 2: Convert to fraction form
    2,405.66/3,607.26 = 1,106/x
  3. Step 3: Cross multiply
    2,405.66x = 3,607.26 × 1,106
  4. Step 4: Simplify right side
    2,405.66x = 3,989,629.56
  5. Step 5: Solve for x
    x = 3,989,629.56/2,405.66
  6. Step 6: Final answer
    x = 1,658.43

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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.