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Finding the Fourth Proportional to 1,857.64, 2,786.39 and 471.02

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Solution

The fourth proportional to 1,857.64, 2,786.39 and 471.02 is: 706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.64 : 2,786.39 = 471.02 : x
  2. Step 2: Convert to fraction form
    1,857.64/2,786.39 = 471.02/x
  3. Step 3: Cross multiply
    1,857.64x = 2,786.39 × 471.02
  4. Step 4: Simplify right side
    1,857.64x = 1,312,450.03
  5. Step 5: Solve for x
    x = 1,312,450.03/1,857.64
  6. Step 6: Final answer
    x = 706.52

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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.