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Finding the Fourth Proportional to 1,619.32, 2,233.61 and 956.13

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Solution

The fourth proportional to 1,619.32, 2,233.61 and 956.13 is: 1,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.32 : 2,233.61 = 956.13 : x
  2. Step 2: Convert to fraction form
    1,619.32/2,233.61 = 956.13/x
  3. Step 3: Cross multiply
    1,619.32x = 2,233.61 × 956.13
  4. Step 4: Simplify right side
    1,619.32x = 2,135,618.34
  5. Step 5: Solve for x
    x = 2,135,618.34/1,619.32
  6. Step 6: Final answer
    x = 1,318.84

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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.