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Finding the Fourth Proportional to 1,694.94, 2,530.13 and 1,465.30

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Solution

The fourth proportional to 1,694.94, 2,530.13 and 1,465.30 is: 2,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.94 : 2,530.13 = 1,465.30 : x
  2. Step 2: Convert to fraction form
    1,694.94/2,530.13 = 1,465.30/x
  3. Step 3: Cross multiply
    1,694.94x = 2,530.13 × 1,465.30
  4. Step 4: Simplify right side
    1,694.94x = 3,707,399.49
  5. Step 5: Solve for x
    x = 3,707,399.49/1,694.94
  6. Step 6: Final answer
    x = 2,187.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.