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Finding the Fourth Proportional to 1,627.35, 2,245.29 and 1,037.40

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Solution

The fourth proportional to 1,627.35, 2,245.29 and 1,037.40 is: 1,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.35 : 2,245.29 = 1,037.40 : x
  2. Step 2: Convert to fraction form
    1,627.35/2,245.29 = 1,037.40/x
  3. Step 3: Cross multiply
    1,627.35x = 2,245.29 × 1,037.40
  4. Step 4: Simplify right side
    1,627.35x = 2,329,263.85
  5. Step 5: Solve for x
    x = 2,329,263.85/1,627.35
  6. Step 6: Final answer
    x = 1,431.32

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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.