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Finding the Fourth Proportional to 2,523.91, 3,784.66 and 880.26

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Solution

The fourth proportional to 2,523.91, 3,784.66 and 880.26 is: 1,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.91 : 3,784.66 = 880.26 : x
  2. Step 2: Convert to fraction form
    2,523.91/3,784.66 = 880.26/x
  3. Step 3: Cross multiply
    2,523.91x = 3,784.66 × 880.26
  4. Step 4: Simplify right side
    2,523.91x = 3,331,484.81
  5. Step 5: Solve for x
    x = 3,331,484.81/2,523.91
  6. Step 6: Final answer
    x = 1,319.97

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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.