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Finding the Fourth Proportional to 2,945.40, 4,418.34 and 837.01

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Solution

The fourth proportional to 2,945.40, 4,418.34 and 837.01 is: 1,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.40 : 4,418.34 = 837.01 : x
  2. Step 2: Convert to fraction form
    2,945.40/4,418.34 = 837.01/x
  3. Step 3: Cross multiply
    2,945.40x = 4,418.34 × 837.01
  4. Step 4: Simplify right side
    2,945.40x = 3,698,194.76
  5. Step 5: Solve for x
    x = 3,698,194.76/2,945.40
  6. Step 6: Final answer
    x = 1,255.58

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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.