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Finding the Fourth Proportional to 2,644.36, 3,649.18 and 1,525.30

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Solution

The fourth proportional to 2,644.36, 3,649.18 and 1,525.30 is: 2,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.36 : 3,649.18 = 1,525.30 : x
  2. Step 2: Convert to fraction form
    2,644.36/3,649.18 = 1,525.30/x
  3. Step 3: Cross multiply
    2,644.36x = 3,649.18 × 1,525.30
  4. Step 4: Simplify right side
    2,644.36x = 5,566,094.25
  5. Step 5: Solve for x
    x = 5,566,094.25/2,644.36
  6. Step 6: Final answer
    x = 2,104.89

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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.