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Finding the Fourth Proportional to 2,548.93, 3,829.22 and 1,810.36

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Solution

The fourth proportional to 2,548.93, 3,829.22 and 1,810.36 is: 2,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.93 : 3,829.22 = 1,810.36 : x
  2. Step 2: Convert to fraction form
    2,548.93/3,829.22 = 1,810.36/x
  3. Step 3: Cross multiply
    2,548.93x = 3,829.22 × 1,810.36
  4. Step 4: Simplify right side
    2,548.93x = 6,932,284.81
  5. Step 5: Solve for x
    x = 6,932,284.81/2,548.93
  6. Step 6: Final answer
    x = 2,719.68

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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.