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Finding the Fourth Proportional to 3,145.95, 4,341.24 and 1,729.37

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Solution

The fourth proportional to 3,145.95, 4,341.24 and 1,729.37 is: 2,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.95 : 4,341.24 = 1,729.37 : x
  2. Step 2: Convert to fraction form
    3,145.95/4,341.24 = 1,729.37/x
  3. Step 3: Cross multiply
    3,145.95x = 4,341.24 × 1,729.37
  4. Step 4: Simplify right side
    3,145.95x = 7,507,588.51
  5. Step 5: Solve for x
    x = 7,507,588.51/3,145.95
  6. Step 6: Final answer
    x = 2,386.43

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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.