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Finding the Fourth Proportional to 2,347.68, 3,238.72 and 1,450.68

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Solution

The fourth proportional to 2,347.68, 3,238.72 and 1,450.68 is: 2,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.68 : 3,238.72 = 1,450.68 : x
  2. Step 2: Convert to fraction form
    2,347.68/3,238.72 = 1,450.68/x
  3. Step 3: Cross multiply
    2,347.68x = 3,238.72 × 1,450.68
  4. Step 4: Simplify right side
    2,347.68x = 4,698,330.56
  5. Step 5: Solve for x
    x = 4,698,330.56/2,347.68
  6. Step 6: Final answer
    x = 2,001.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.