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Finding the Fourth Proportional to 1,627.34, 2,245.71 and 928.70

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Solution

The fourth proportional to 1,627.34, 2,245.71 and 928.70 is: 1,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.34 : 2,245.71 = 928.70 : x
  2. Step 2: Convert to fraction form
    1,627.34/2,245.71 = 928.70/x
  3. Step 3: Cross multiply
    1,627.34x = 2,245.71 × 928.70
  4. Step 4: Simplify right side
    1,627.34x = 2,085,590.88
  5. Step 5: Solve for x
    x = 2,085,590.88/1,627.34
  6. Step 6: Final answer
    x = 1,281.60

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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.