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Finding the Fourth Proportional to 2,974.36, 4,461.37 and 894.32

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Solution

The fourth proportional to 2,974.36, 4,461.37 and 894.32 is: 1,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.36 : 4,461.37 = 894.32 : x
  2. Step 2: Convert to fraction form
    2,974.36/4,461.37 = 894.32/x
  3. Step 3: Cross multiply
    2,974.36x = 4,461.37 × 894.32
  4. Step 4: Simplify right side
    2,974.36x = 3,989,892.42
  5. Step 5: Solve for x
    x = 3,989,892.42/2,974.36
  6. Step 6: Final answer
    x = 1,341.43

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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.