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Finding the Fourth Proportional to 2,538.72, 3,810.24 and 1,810.08

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Solution

The fourth proportional to 2,538.72, 3,810.24 and 1,810.08 is: 2,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.72 : 3,810.24 = 1,810.08 : x
  2. Step 2: Convert to fraction form
    2,538.72/3,810.24 = 1,810.08/x
  3. Step 3: Cross multiply
    2,538.72x = 3,810.24 × 1,810.08
  4. Step 4: Simplify right side
    2,538.72x = 6,896,839.22
  5. Step 5: Solve for x
    x = 6,896,839.22/2,538.72
  6. Step 6: Final answer
    x = 2,716.66

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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.