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Finding the Fourth Proportional to 2,354.18, 3,532.84 and 1,259.33

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Solution

The fourth proportional to 2,354.18, 3,532.84 and 1,259.33 is: 1,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.18 : 3,532.84 = 1,259.33 : x
  2. Step 2: Convert to fraction form
    2,354.18/3,532.84 = 1,259.33/x
  3. Step 3: Cross multiply
    2,354.18x = 3,532.84 × 1,259.33
  4. Step 4: Simplify right side
    2,354.18x = 4,448,990.58
  5. Step 5: Solve for x
    x = 4,448,990.58/2,354.18
  6. Step 6: Final answer
    x = 1,889.83

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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.