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Finding the Fourth Proportional to 2,575, 3,553.50 and 1,455.82

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Solution

The fourth proportional to 2,575, 3,553.50 and 1,455.82 is: 2,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575 : 3,553.50 = 1,455.82 : x
  2. Step 2: Convert to fraction form
    2,575/3,553.50 = 1,455.82/x
  3. Step 3: Cross multiply
    2,575x = 3,553.50 × 1,455.82
  4. Step 4: Simplify right side
    2,575x = 5,173,256.37
  5. Step 5: Solve for x
    x = 5,173,256.37/2,575
  6. Step 6: Final answer
    x = 2,009.03

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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.