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Finding the Fourth Proportional to 1,876.27, 2,589.27 and 1,025.53

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Solution

The fourth proportional to 1,876.27, 2,589.27 and 1,025.53 is: 1,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.27 : 2,589.27 = 1,025.53 : x
  2. Step 2: Convert to fraction form
    1,876.27/2,589.27 = 1,025.53/x
  3. Step 3: Cross multiply
    1,876.27x = 2,589.27 × 1,025.53
  4. Step 4: Simplify right side
    1,876.27x = 2,655,368.94
  5. Step 5: Solve for x
    x = 2,655,368.94/1,876.27
  6. Step 6: Final answer
    x = 1,415.24

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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.