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Finding the Fourth Proportional to 1,716.62, 2,574.43 and 894.47

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Solution

The fourth proportional to 1,716.62, 2,574.43 and 894.47 is: 1,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.62 : 2,574.43 = 894.47 : x
  2. Step 2: Convert to fraction form
    1,716.62/2,574.43 = 894.47/x
  3. Step 3: Cross multiply
    1,716.62x = 2,574.43 × 894.47
  4. Step 4: Simplify right side
    1,716.62x = 2,302,761.94
  5. Step 5: Solve for x
    x = 2,302,761.94/1,716.62
  6. Step 6: Final answer
    x = 1,341.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.