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Finding the Fourth Proportional to 2,446.49, 3,669.75 and 597.62

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Solution

The fourth proportional to 2,446.49, 3,669.75 and 597.62 is: 896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.49 : 3,669.75 = 597.62 : x
  2. Step 2: Convert to fraction form
    2,446.49/3,669.75 = 597.62/x
  3. Step 3: Cross multiply
    2,446.49x = 3,669.75 × 597.62
  4. Step 4: Simplify right side
    2,446.49x = 2,193,116.00
  5. Step 5: Solve for x
    x = 2,193,116.00/2,446.49
  6. Step 6: Final answer
    x = 896.43

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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.