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Finding the Fourth Proportional to 1,876.69, 2,589.75 and 1,037.36

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Solution

The fourth proportional to 1,876.69, 2,589.75 and 1,037.36 is: 1,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.69 : 2,589.75 = 1,037.36 : x
  2. Step 2: Convert to fraction form
    1,876.69/2,589.75 = 1,037.36/x
  3. Step 3: Cross multiply
    1,876.69x = 2,589.75 × 1,037.36
  4. Step 4: Simplify right side
    1,876.69x = 2,686,503.06
  5. Step 5: Solve for x
    x = 2,686,503.06/1,876.69
  6. Step 6: Final answer
    x = 1,431.51

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