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Finding the Fourth Proportional to 2,982.08, 4,113.24 and 1,740.08

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Solution

The fourth proportional to 2,982.08, 4,113.24 and 1,740.08 is: 2,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.08 : 4,113.24 = 1,740.08 : x
  2. Step 2: Convert to fraction form
    2,982.08/4,113.24 = 1,740.08/x
  3. Step 3: Cross multiply
    2,982.08x = 4,113.24 × 1,740.08
  4. Step 4: Simplify right side
    2,982.08x = 7,157,366.66
  5. Step 5: Solve for x
    x = 7,157,366.66/2,982.08
  6. Step 6: Final answer
    x = 2,400.13

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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.