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Finding the Fourth Proportional to 2,253.64, 3,381.42 and 956.08

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Solution

The fourth proportional to 2,253.64, 3,381.42 and 956.08 is: 1,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.64 : 3,381.42 = 956.08 : x
  2. Step 2: Convert to fraction form
    2,253.64/3,381.42 = 956.08/x
  3. Step 3: Cross multiply
    2,253.64x = 3,381.42 × 956.08
  4. Step 4: Simplify right side
    2,253.64x = 3,232,908.03
  5. Step 5: Solve for x
    x = 3,232,908.03/2,253.64
  6. Step 6: Final answer
    x = 1,434.53

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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.