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Finding the Fourth Proportional to 1,874.64, 2,583.57 and 1,244.05

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Solution

The fourth proportional to 1,874.64, 2,583.57 and 1,244.05 is: 1,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.64 : 2,583.57 = 1,244.05 : x
  2. Step 2: Convert to fraction form
    1,874.64/2,583.57 = 1,244.05/x
  3. Step 3: Cross multiply
    1,874.64x = 2,583.57 × 1,244.05
  4. Step 4: Simplify right side
    1,874.64x = 3,214,090.26
  5. Step 5: Solve for x
    x = 3,214,090.26/1,874.64
  6. Step 6: Final answer
    x = 1,714.51

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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.