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Finding the Fourth Proportional to 2,982.92, 4,116.48 and 1,740.92

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Solution

The fourth proportional to 2,982.92, 4,116.48 and 1,740.92 is: 2,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.92 : 4,116.48 = 1,740.92 : x
  2. Step 2: Convert to fraction form
    2,982.92/4,116.48 = 1,740.92/x
  3. Step 3: Cross multiply
    2,982.92x = 4,116.48 × 1,740.92
  4. Step 4: Simplify right side
    2,982.92x = 7,166,462.36
  5. Step 5: Solve for x
    x = 7,166,462.36/2,982.92
  6. Step 6: Final answer
    x = 2,402.50

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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.