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Finding the Fourth Proportional to 2,302.50, 3,454.26 and 841.62

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Solution

The fourth proportional to 2,302.50, 3,454.26 and 841.62 is: 1,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.50 : 3,454.26 = 841.62 : x
  2. Step 2: Convert to fraction form
    2,302.50/3,454.26 = 841.62/x
  3. Step 3: Cross multiply
    2,302.50x = 3,454.26 × 841.62
  4. Step 4: Simplify right side
    2,302.50x = 2,907,174.30
  5. Step 5: Solve for x
    x = 2,907,174.30/2,302.50
  6. Step 6: Final answer
    x = 1,262.62

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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.