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Finding the Fourth Proportional to 2,326.78, 3,212.04 and 1,762.80

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Solution

The fourth proportional to 2,326.78, 3,212.04 and 1,762.80 is: 2,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.78 : 3,212.04 = 1,762.80 : x
  2. Step 2: Convert to fraction form
    2,326.78/3,212.04 = 1,762.80/x
  3. Step 3: Cross multiply
    2,326.78x = 3,212.04 × 1,762.80
  4. Step 4: Simplify right side
    2,326.78x = 5,662,184.11
  5. Step 5: Solve for x
    x = 5,662,184.11/2,326.78
  6. Step 6: Final answer
    x = 2,433.48

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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.