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Finding the Fourth Proportional to 2,030.94, 3,044.12 and 1,329.50

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Solution

The fourth proportional to 2,030.94, 3,044.12 and 1,329.50 is: 1,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.94 : 3,044.12 = 1,329.50 : x
  2. Step 2: Convert to fraction form
    2,030.94/3,044.12 = 1,329.50/x
  3. Step 3: Cross multiply
    2,030.94x = 3,044.12 × 1,329.50
  4. Step 4: Simplify right side
    2,030.94x = 4,047,145.64
  5. Step 5: Solve for x
    x = 4,047,145.64/2,030.94
  6. Step 6: Final answer
    x = 1,992.75

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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.