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Finding the Fourth Proportional to 3,029.84, 4,544.24 and 838.05

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Solution

The fourth proportional to 3,029.84, 4,544.24 and 838.05 is: 1,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.84 : 4,544.24 = 838.05 : x
  2. Step 2: Convert to fraction form
    3,029.84/4,544.24 = 838.05/x
  3. Step 3: Cross multiply
    3,029.84x = 4,544.24 × 838.05
  4. Step 4: Simplify right side
    3,029.84x = 3,808,324.51
  5. Step 5: Solve for x
    x = 3,808,324.51/3,029.84
  6. Step 6: Final answer
    x = 1,256.94

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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.