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Finding the Fourth Proportional to 3,055.40, 4,216.06 and 1,729.16

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Solution

The fourth proportional to 3,055.40, 4,216.06 and 1,729.16 is: 2,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.40 : 4,216.06 = 1,729.16 : x
  2. Step 2: Convert to fraction form
    3,055.40/4,216.06 = 1,729.16/x
  3. Step 3: Cross multiply
    3,055.40x = 4,216.06 × 1,729.16
  4. Step 4: Simplify right side
    3,055.40x = 7,290,242.31
  5. Step 5: Solve for x
    x = 7,290,242.31/3,055.40
  6. Step 6: Final answer
    x = 2,386.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.