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Finding the Fourth Proportional to 2,689.47, 3,712.02 and 1,694.07

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Solution

The fourth proportional to 2,689.47, 3,712.02 and 1,694.07 is: 2,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.47 : 3,712.02 = 1,694.07 : x
  2. Step 2: Convert to fraction form
    2,689.47/3,712.02 = 1,694.07/x
  3. Step 3: Cross multiply
    2,689.47x = 3,712.02 × 1,694.07
  4. Step 4: Simplify right side
    2,689.47x = 6,288,421.72
  5. Step 5: Solve for x
    x = 6,288,421.72/2,689.47
  6. Step 6: Final answer
    x = 2,338.16

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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.