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Finding the Fourth Proportional to 2,369.96, 3,549.09 and 1,767.45

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Solution

The fourth proportional to 2,369.96, 3,549.09 and 1,767.45 is: 2,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.96 : 3,549.09 = 1,767.45 : x
  2. Step 2: Convert to fraction form
    2,369.96/3,549.09 = 1,767.45/x
  3. Step 3: Cross multiply
    2,369.96x = 3,549.09 × 1,767.45
  4. Step 4: Simplify right side
    2,369.96x = 6,272,839.12
  5. Step 5: Solve for x
    x = 6,272,839.12/2,369.96
  6. Step 6: Final answer
    x = 2,646.82

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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.