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Finding the Fourth Proportional to 2,375.64, 3,548.97 and 2,289.24

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Solution

The fourth proportional to 2,375.64, 3,548.97 and 2,289.24 is: 3,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.64 : 3,548.97 = 2,289.24 : x
  2. Step 2: Convert to fraction form
    2,375.64/3,548.97 = 2,289.24/x
  3. Step 3: Cross multiply
    2,375.64x = 3,548.97 × 2,289.24
  4. Step 4: Simplify right side
    2,375.64x = 8,124,444.08
  5. Step 5: Solve for x
    x = 8,124,444.08/2,375.64
  6. Step 6: Final answer
    x = 3,419.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.