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Finding the Fourth Proportional to 2,438.77, 3,658.16 and 1,471.63

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Solution

The fourth proportional to 2,438.77, 3,658.16 and 1,471.63 is: 2,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.77 : 3,658.16 = 1,471.63 : x
  2. Step 2: Convert to fraction form
    2,438.77/3,658.16 = 1,471.63/x
  3. Step 3: Cross multiply
    2,438.77x = 3,658.16 × 1,471.63
  4. Step 4: Simplify right side
    2,438.77x = 5,383,458.00
  5. Step 5: Solve for x
    x = 5,383,458.00/2,438.77
  6. Step 6: Final answer
    x = 2,207.45

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1.5x scale

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.