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Finding the Fourth Proportional to 2,741.69, 3,783.48 and 1,607.64

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Solution

The fourth proportional to 2,741.69, 3,783.48 and 1,607.64 is: 2,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.69 : 3,783.48 = 1,607.64 : x
  2. Step 2: Convert to fraction form
    2,741.69/3,783.48 = 1,607.64/x
  3. Step 3: Cross multiply
    2,741.69x = 3,783.48 × 1,607.64
  4. Step 4: Simplify right side
    2,741.69x = 6,082,473.79
  5. Step 5: Solve for x
    x = 6,082,473.79/2,741.69
  6. Step 6: Final answer
    x = 2,218.52

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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.