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Finding the Fourth Proportional to 2,346.68, 3,237.91 and 1,496.26

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Solution

The fourth proportional to 2,346.68, 3,237.91 and 1,496.26 is: 2,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.68 : 3,237.91 = 1,496.26 : x
  2. Step 2: Convert to fraction form
    2,346.68/3,237.91 = 1,496.26/x
  3. Step 3: Cross multiply
    2,346.68x = 3,237.91 × 1,496.26
  4. Step 4: Simplify right side
    2,346.68x = 4,844,739.03
  5. Step 5: Solve for x
    x = 4,844,739.03/2,346.68
  6. Step 6: Final answer
    x = 2,064.51

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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.