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Finding the Fourth Proportional to 2,349.70, 3,525.24 and 1,412.41

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Solution

The fourth proportional to 2,349.70, 3,525.24 and 1,412.41 is: 2,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.70 : 3,525.24 = 1,412.41 : x
  2. Step 2: Convert to fraction form
    2,349.70/3,525.24 = 1,412.41/x
  3. Step 3: Cross multiply
    2,349.70x = 3,525.24 × 1,412.41
  4. Step 4: Simplify right side
    2,349.70x = 4,979,084.23
  5. Step 5: Solve for x
    x = 4,979,084.23/2,349.70
  6. Step 6: Final answer
    x = 2,119.03

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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.