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Finding the Fourth Proportional to 2,302.46, 3,454.23 and 841.64

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Solution

The fourth proportional to 2,302.46, 3,454.23 and 841.64 is: 1,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.46 : 3,454.23 = 841.64 : x
  2. Step 2: Convert to fraction form
    2,302.46/3,454.23 = 841.64/x
  3. Step 3: Cross multiply
    2,302.46x = 3,454.23 × 841.64
  4. Step 4: Simplify right side
    2,302.46x = 2,907,218.14
  5. Step 5: Solve for x
    x = 2,907,218.14/2,302.46
  6. Step 6: Final answer
    x = 1,262.66

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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.