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Finding the Fourth Proportional to 2,553.60, 3,829.10 and 1,165.98

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Solution

The fourth proportional to 2,553.60, 3,829.10 and 1,165.98 is: 1,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.60 : 3,829.10 = 1,165.98 : x
  2. Step 2: Convert to fraction form
    2,553.60/3,829.10 = 1,165.98/x
  3. Step 3: Cross multiply
    2,553.60x = 3,829.10 × 1,165.98
  4. Step 4: Simplify right side
    2,553.60x = 4,464,654.02
  5. Step 5: Solve for x
    x = 4,464,654.02/2,553.60
  6. Step 6: Final answer
    x = 1,748.38

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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.