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Finding the Fourth Proportional to 2,953.56, 4,431.84 and 2,264.64

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Solution

The fourth proportional to 2,953.56, 4,431.84 and 2,264.64 is: 3,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.56 : 4,431.84 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    2,953.56/4,431.84 = 2,264.64/x
  3. Step 3: Cross multiply
    2,953.56x = 4,431.84 × 2,264.64
  4. Step 4: Simplify right side
    2,953.56x = 10,036,522.14
  5. Step 5: Solve for x
    x = 10,036,522.14/2,953.56
  6. Step 6: Final answer
    x = 3,398.11

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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.