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Finding the Fourth Proportional to 1,627.43, 2,244.65 and 1,037.43

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Solution

The fourth proportional to 1,627.43, 2,244.65 and 1,037.43 is: 1,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.43 : 2,244.65 = 1,037.43 : x
  2. Step 2: Convert to fraction form
    1,627.43/2,244.65 = 1,037.43/x
  3. Step 3: Cross multiply
    1,627.43x = 2,244.65 × 1,037.43
  4. Step 4: Simplify right side
    1,627.43x = 2,328,662.06
  5. Step 5: Solve for x
    x = 2,328,662.06/1,627.43
  6. Step 6: Final answer
    x = 1,430.89

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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.