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Finding the Fourth Proportional to 2,405.88, 3,607.47 and 944.64

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Solution

The fourth proportional to 2,405.88, 3,607.47 and 944.64 is: 1,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.88 : 3,607.47 = 944.64 : x
  2. Step 2: Convert to fraction form
    2,405.88/3,607.47 = 944.64/x
  3. Step 3: Cross multiply
    2,405.88x = 3,607.47 × 944.64
  4. Step 4: Simplify right side
    2,405.88x = 3,407,760.46
  5. Step 5: Solve for x
    x = 3,407,760.46/2,405.88
  6. Step 6: Final answer
    x = 1,416.43

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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.