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Finding the Fourth Proportional to 2,030.00, 3,043.80 and 795.96

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Solution

The fourth proportional to 2,030.00, 3,043.80 and 795.96 is: 1,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.00 : 3,043.80 = 795.96 : x
  2. Step 2: Convert to fraction form
    2,030.00/3,043.80 = 795.96/x
  3. Step 3: Cross multiply
    2,030.00x = 3,043.80 × 795.96
  4. Step 4: Simplify right side
    2,030.00x = 2,422,743.05
  5. Step 5: Solve for x
    x = 2,422,743.05/2,030.00
  6. Step 6: Final answer
    x = 1,193.47

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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.