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Finding the Fourth Proportional to 1,372.89, 1,893.14 and 1,037.57

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Solution

The fourth proportional to 1,372.89, 1,893.14 and 1,037.57 is: 1,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.89 : 1,893.14 = 1,037.57 : x
  2. Step 2: Convert to fraction form
    1,372.89/1,893.14 = 1,037.57/x
  3. Step 3: Cross multiply
    1,372.89x = 1,893.14 × 1,037.57
  4. Step 4: Simplify right side
    1,372.89x = 1,964,258.40
  5. Step 5: Solve for x
    x = 1,964,258.40/1,372.89
  6. Step 6: Final answer
    x = 1,430.75

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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.