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Finding the Fourth Proportional to 1,617.71, 2,232.50 and 909.63

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Solution

The fourth proportional to 1,617.71, 2,232.50 and 909.63 is: 1,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.71 : 2,232.50 = 909.63 : x
  2. Step 2: Convert to fraction form
    1,617.71/2,232.50 = 909.63/x
  3. Step 3: Cross multiply
    1,617.71x = 2,232.50 × 909.63
  4. Step 4: Simplify right side
    1,617.71x = 2,030,744.43
  5. Step 5: Solve for x
    x = 2,030,744.43/1,617.71
  6. Step 6: Final answer
    x = 1,255.32

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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.