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Finding the Fourth Proportional to 1,712.63, 2,363.18 and 966.49

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Solution

The fourth proportional to 1,712.63, 2,363.18 and 966.49 is: 1,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.63 : 2,363.18 = 966.49 : x
  2. Step 2: Convert to fraction form
    1,712.63/2,363.18 = 966.49/x
  3. Step 3: Cross multiply
    1,712.63x = 2,363.18 × 966.49
  4. Step 4: Simplify right side
    1,712.63x = 2,283,979.10
  5. Step 5: Solve for x
    x = 2,283,979.10/1,712.63
  6. Step 6: Final answer
    x = 1,333.61

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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.