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Finding the Fourth Proportional to 1,832.61, 2,738.37 and 1,503.75

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Solution

The fourth proportional to 1,832.61, 2,738.37 and 1,503.75 is: 2,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.61 : 2,738.37 = 1,503.75 : x
  2. Step 2: Convert to fraction form
    1,832.61/2,738.37 = 1,503.75/x
  3. Step 3: Cross multiply
    1,832.61x = 2,738.37 × 1,503.75
  4. Step 4: Simplify right side
    1,832.61x = 4,117,823.89
  5. Step 5: Solve for x
    x = 4,117,823.89/1,832.61
  6. Step 6: Final answer
    x = 2,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.