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Finding the Fourth Proportional to 2,029.17, 3,042.60 and 642.24

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Solution

The fourth proportional to 2,029.17, 3,042.60 and 642.24 is: 962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.17 : 3,042.60 = 642.24 : x
  2. Step 2: Convert to fraction form
    2,029.17/3,042.60 = 642.24/x
  3. Step 3: Cross multiply
    2,029.17x = 3,042.60 × 642.24
  4. Step 4: Simplify right side
    2,029.17x = 1,954,079.42
  5. Step 5: Solve for x
    x = 1,954,079.42/2,029.17
  6. Step 6: Final answer
    x = 962.99

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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.