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Finding the Fourth Proportional to 2,029.12, 3,043.40 and 795.68

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Solution

The fourth proportional to 2,029.12, 3,043.40 and 795.68 is: 1,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.12 : 3,043.40 = 795.68 : x
  2. Step 2: Convert to fraction form
    2,029.12/3,043.40 = 795.68/x
  3. Step 3: Cross multiply
    2,029.12x = 3,043.40 × 795.68
  4. Step 4: Simplify right side
    2,029.12x = 2,421,572.51
  5. Step 5: Solve for x
    x = 2,421,572.51/2,029.12
  6. Step 6: Final answer
    x = 1,193.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.