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Finding the Fourth Proportional to 2,042.99, 3,062.36 and 946.45

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Solution

The fourth proportional to 2,042.99, 3,062.36 and 946.45 is: 1,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.99 : 3,062.36 = 946.45 : x
  2. Step 2: Convert to fraction form
    2,042.99/3,062.36 = 946.45/x
  3. Step 3: Cross multiply
    2,042.99x = 3,062.36 × 946.45
  4. Step 4: Simplify right side
    2,042.99x = 2,898,371.49
  5. Step 5: Solve for x
    x = 2,898,371.49/2,042.99
  6. Step 6: Final answer
    x = 1,418.69

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1.5x scale

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.