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Finding the Fourth Proportional to 1,837.35, 2,751.98 and 1,423.24

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Solution

The fourth proportional to 1,837.35, 2,751.98 and 1,423.24 is: 2,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.35 : 2,751.98 = 1,423.24 : x
  2. Step 2: Convert to fraction form
    1,837.35/2,751.98 = 1,423.24/x
  3. Step 3: Cross multiply
    1,837.35x = 2,751.98 × 1,423.24
  4. Step 4: Simplify right side
    1,837.35x = 3,916,714.02
  5. Step 5: Solve for x
    x = 3,916,714.02/1,837.35
  6. Step 6: Final answer
    x = 2,131.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.