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Finding the Fourth Proportional to 2,689.34, 3,710.39 and 1,627.43

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Solution

The fourth proportional to 2,689.34, 3,710.39 and 1,627.43 is: 2,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.34 : 3,710.39 = 1,627.43 : x
  2. Step 2: Convert to fraction form
    2,689.34/3,710.39 = 1,627.43/x
  3. Step 3: Cross multiply
    2,689.34x = 3,710.39 × 1,627.43
  4. Step 4: Simplify right side
    2,689.34x = 6,038,400.00
  5. Step 5: Solve for x
    x = 6,038,400.00/2,689.34
  6. Step 6: Final answer
    x = 2,245.31

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1.5x scale

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.