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Finding the Fourth Proportional to 1,857.51, 2,786.31 and 883.71

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Solution

The fourth proportional to 1,857.51, 2,786.31 and 883.71 is: 1,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.51 : 2,786.31 = 883.71 : x
  2. Step 2: Convert to fraction form
    1,857.51/2,786.31 = 883.71/x
  3. Step 3: Cross multiply
    1,857.51x = 2,786.31 × 883.71
  4. Step 4: Simplify right side
    1,857.51x = 2,462,290.01
  5. Step 5: Solve for x
    x = 2,462,290.01/1,857.51
  6. Step 6: Final answer
    x = 1,325.59

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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.