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Finding the Fourth Proportional to 1,876.50, 2,589.53 and 1,037.16

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Solution

The fourth proportional to 1,876.50, 2,589.53 and 1,037.16 is: 1,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.50 : 2,589.53 = 1,037.16 : x
  2. Step 2: Convert to fraction form
    1,876.50/2,589.53 = 1,037.16/x
  3. Step 3: Cross multiply
    1,876.50x = 2,589.53 × 1,037.16
  4. Step 4: Simplify right side
    1,876.50x = 2,685,751.75
  5. Step 5: Solve for x
    x = 2,685,751.75/1,876.50
  6. Step 6: Final answer
    x = 1,431.26

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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.