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Finding the Fourth Proportional to 2,446.05, 3,669.02 and 597.11

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Solution

The fourth proportional to 2,446.05, 3,669.02 and 597.11 is: 895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.05 : 3,669.02 = 597.11 : x
  2. Step 2: Convert to fraction form
    2,446.05/3,669.02 = 597.11/x
  3. Step 3: Cross multiply
    2,446.05x = 3,669.02 × 597.11
  4. Step 4: Simplify right side
    2,446.05x = 2,190,800.85
  5. Step 5: Solve for x
    x = 2,190,800.85/2,446.05
  6. Step 6: Final answer
    x = 895.65

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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.