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Finding the Fourth Proportional to 2,846.40, 4,270.14 and 898.74

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Solution

The fourth proportional to 2,846.40, 4,270.14 and 898.74 is: 1,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.40 : 4,270.14 = 898.74 : x
  2. Step 2: Convert to fraction form
    2,846.40/4,270.14 = 898.74/x
  3. Step 3: Cross multiply
    2,846.40x = 4,270.14 × 898.74
  4. Step 4: Simplify right side
    2,846.40x = 3,837,745.62
  5. Step 5: Solve for x
    x = 3,837,745.62/2,846.40
  6. Step 6: Final answer
    x = 1,348.28

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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.