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Finding the Fourth Proportional to 1,740.84, 2,402.26 and 994.84

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Solution

The fourth proportional to 1,740.84, 2,402.26 and 994.84 is: 1,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.84 : 2,402.26 = 994.84 : x
  2. Step 2: Convert to fraction form
    1,740.84/2,402.26 = 994.84/x
  3. Step 3: Cross multiply
    1,740.84x = 2,402.26 × 994.84
  4. Step 4: Simplify right side
    1,740.84x = 2,389,864.34
  5. Step 5: Solve for x
    x = 2,389,864.34/1,740.84
  6. Step 6: Final answer
    x = 1,372.82

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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.