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Finding the Fourth Proportional to 3,055.65, 4,216.64 and 1,729.55

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Solution

The fourth proportional to 3,055.65, 4,216.64 and 1,729.55 is: 2,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.65 : 4,216.64 = 1,729.55 : x
  2. Step 2: Convert to fraction form
    3,055.65/4,216.64 = 1,729.55/x
  3. Step 3: Cross multiply
    3,055.65x = 4,216.64 × 1,729.55
  4. Step 4: Simplify right side
    3,055.65x = 7,292,859.98
  5. Step 5: Solve for x
    x = 7,292,859.98/3,055.65
  6. Step 6: Final answer
    x = 2,386.68

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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.