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Finding the Fourth Proportional to 2,044.99, 3,065.36 and 948.45

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Solution

The fourth proportional to 2,044.99, 3,065.36 and 948.45 is: 1,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.99 : 3,065.36 = 948.45 : x
  2. Step 2: Convert to fraction form
    2,044.99/3,065.36 = 948.45/x
  3. Step 3: Cross multiply
    2,044.99x = 3,065.36 × 948.45
  4. Step 4: Simplify right side
    2,044.99x = 2,907,340.69
  5. Step 5: Solve for x
    x = 2,907,340.69/2,044.99
  6. Step 6: Final answer
    x = 1,421.69

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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.