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Finding the Fourth Proportional to 2,253.88, 3,378.78 and 954.64

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Solution

The fourth proportional to 2,253.88, 3,378.78 and 954.64 is: 1,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.88 : 3,378.78 = 954.64 : x
  2. Step 2: Convert to fraction form
    2,253.88/3,378.78 = 954.64/x
  3. Step 3: Cross multiply
    2,253.88x = 3,378.78 × 954.64
  4. Step 4: Simplify right side
    2,253.88x = 3,225,518.54
  5. Step 5: Solve for x
    x = 3,225,518.54/2,253.88
  6. Step 6: Final answer
    x = 1,431.10

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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.