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Finding the Fourth Proportional to 2,974.64, 4,461.96 and 894.66

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Solution

The fourth proportional to 2,974.64, 4,461.96 and 894.66 is: 1,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.64 : 4,461.96 = 894.66 : x
  2. Step 2: Convert to fraction form
    2,974.64/4,461.96 = 894.66/x
  3. Step 3: Cross multiply
    2,974.64x = 4,461.96 × 894.66
  4. Step 4: Simplify right side
    2,974.64x = 3,991,937.13
  5. Step 5: Solve for x
    x = 3,991,937.13/2,974.64
  6. Step 6: Final answer
    x = 1,341.99

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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.