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Finding the Fourth Proportional to 2,271.93, 3,407.93 and 1,496.89

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Solution

The fourth proportional to 2,271.93, 3,407.93 and 1,496.89 is: 2,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.93 : 3,407.93 = 1,496.89 : x
  2. Step 2: Convert to fraction form
    2,271.93/3,407.93 = 1,496.89/x
  3. Step 3: Cross multiply
    2,271.93x = 3,407.93 × 1,496.89
  4. Step 4: Simplify right side
    2,271.93x = 5,101,297.37
  5. Step 5: Solve for x
    x = 5,101,297.37/2,271.93
  6. Step 6: Final answer
    x = 2,245.36

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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.