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Finding the Fourth Proportional to 2,762.26, 3,810.66 and 1,924.96

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Solution

The fourth proportional to 2,762.26, 3,810.66 and 1,924.96 is: 2,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.26 : 3,810.66 = 1,924.96 : x
  2. Step 2: Convert to fraction form
    2,762.26/3,810.66 = 1,924.96/x
  3. Step 3: Cross multiply
    2,762.26x = 3,810.66 × 1,924.96
  4. Step 4: Simplify right side
    2,762.26x = 7,335,368.07
  5. Step 5: Solve for x
    x = 7,335,368.07/2,762.26
  6. Step 6: Final answer
    x = 2,655.57

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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.