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Finding the Fourth Proportional to 1,740.92, 2,402.54 and 994.88

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Solution

The fourth proportional to 1,740.92, 2,402.54 and 994.88 is: 1,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.92 : 2,402.54 = 994.88 : x
  2. Step 2: Convert to fraction form
    1,740.92/2,402.54 = 994.88/x
  3. Step 3: Cross multiply
    1,740.92x = 2,402.54 × 994.88
  4. Step 4: Simplify right side
    1,740.92x = 2,390,239.00
  5. Step 5: Solve for x
    x = 2,390,239.00/1,740.92
  6. Step 6: Final answer
    x = 1,372.97

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1.5x scale

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.