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Finding the Fourth Proportional to 2,704.71, 3,732.46 and 1,509.63

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Solution

The fourth proportional to 2,704.71, 3,732.46 and 1,509.63 is: 2,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.71 : 3,732.46 = 1,509.63 : x
  2. Step 2: Convert to fraction form
    2,704.71/3,732.46 = 1,509.63/x
  3. Step 3: Cross multiply
    2,704.71x = 3,732.46 × 1,509.63
  4. Step 4: Simplify right side
    2,704.71x = 5,634,635.37
  5. Step 5: Solve for x
    x = 5,634,635.37/2,704.71
  6. Step 6: Final answer
    x = 2,083.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.