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Finding the Fourth Proportional to 2,522.65, 3,784.00 and 879.20

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Solution

The fourth proportional to 2,522.65, 3,784.00 and 879.20 is: 1,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.65 : 3,784.00 = 879.20 : x
  2. Step 2: Convert to fraction form
    2,522.65/3,784.00 = 879.20/x
  3. Step 3: Cross multiply
    2,522.65x = 3,784.00 × 879.20
  4. Step 4: Simplify right side
    2,522.65x = 3,326,876.88
  5. Step 5: Solve for x
    x = 3,326,876.88/2,522.65
  6. Step 6: Final answer
    x = 1,318.80

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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.