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Finding the Fourth Proportional to 1,966.92, 2,699.88 and 1,740.96

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Solution

The fourth proportional to 1,966.92, 2,699.88 and 1,740.96 is: 2,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.92 : 2,699.88 = 1,740.96 : x
  2. Step 2: Convert to fraction form
    1,966.92/2,699.88 = 1,740.96/x
  3. Step 3: Cross multiply
    1,966.92x = 2,699.88 × 1,740.96
  4. Step 4: Simplify right side
    1,966.92x = 4,700,383.08
  5. Step 5: Solve for x
    x = 4,700,383.08/1,966.92
  6. Step 6: Final answer
    x = 2,389.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.