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Finding the Fourth Proportional to 1,617.86, 2,232.75 and 909.77

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Solution

The fourth proportional to 1,617.86, 2,232.75 and 909.77 is: 1,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.86 : 2,232.75 = 909.77 : x
  2. Step 2: Convert to fraction form
    1,617.86/2,232.75 = 909.77/x
  3. Step 3: Cross multiply
    1,617.86x = 2,232.75 × 909.77
  4. Step 4: Simplify right side
    1,617.86x = 2,031,288.97
  5. Step 5: Solve for x
    x = 2,031,288.97/1,617.86
  6. Step 6: Final answer
    x = 1,255.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.