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Finding the Fourth Proportional to 3,107.90, 4,289.25 and 1,782.02

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Solution

The fourth proportional to 3,107.90, 4,289.25 and 1,782.02 is: 2,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.90 : 4,289.25 = 1,782.02 : x
  2. Step 2: Convert to fraction form
    3,107.90/4,289.25 = 1,782.02/x
  3. Step 3: Cross multiply
    3,107.90x = 4,289.25 × 1,782.02
  4. Step 4: Simplify right side
    3,107.90x = 7,643,529.29
  5. Step 5: Solve for x
    x = 7,643,529.29/3,107.90
  6. Step 6: Final answer
    x = 2,459.39

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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.