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Finding the Fourth Proportional to 1,978.38, 2,730.20 and 1,094.20

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Solution

The fourth proportional to 1,978.38, 2,730.20 and 1,094.20 is: 1,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.38 : 2,730.20 = 1,094.20 : x
  2. Step 2: Convert to fraction form
    1,978.38/2,730.20 = 1,094.20/x
  3. Step 3: Cross multiply
    1,978.38x = 2,730.20 × 1,094.20
  4. Step 4: Simplify right side
    1,978.38x = 2,987,384.84
  5. Step 5: Solve for x
    x = 2,987,384.84/1,978.38
  6. Step 6: Final answer
    x = 1,510.02

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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.