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Finding the Fourth Proportional to 2,638.76, 3,643.15 and 1,694.93

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Solution

The fourth proportional to 2,638.76, 3,643.15 and 1,694.93 is: 2,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.76 : 3,643.15 = 1,694.93 : x
  2. Step 2: Convert to fraction form
    2,638.76/3,643.15 = 1,694.93/x
  3. Step 3: Cross multiply
    2,638.76x = 3,643.15 × 1,694.93
  4. Step 4: Simplify right side
    2,638.76x = 6,174,884.23
  5. Step 5: Solve for x
    x = 6,174,884.23/2,638.76
  6. Step 6: Final answer
    x = 2,340.07

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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.