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Finding the Fourth Proportional to 1,876.64, 2,589.73 and 1,037.27

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Solution

The fourth proportional to 1,876.64, 2,589.73 and 1,037.27 is: 1,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.64 : 2,589.73 = 1,037.27 : x
  2. Step 2: Convert to fraction form
    1,876.64/2,589.73 = 1,037.27/x
  3. Step 3: Cross multiply
    1,876.64x = 2,589.73 × 1,037.27
  4. Step 4: Simplify right side
    1,876.64x = 2,686,253.12
  5. Step 5: Solve for x
    x = 2,686,253.12/1,876.64
  6. Step 6: Final answer
    x = 1,431.42

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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.