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Finding the Fourth Proportional to 3,173.04, 4,378.85 and 1,978.51

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Solution

The fourth proportional to 3,173.04, 4,378.85 and 1,978.51 is: 2,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.04 : 4,378.85 = 1,978.51 : x
  2. Step 2: Convert to fraction form
    3,173.04/4,378.85 = 1,978.51/x
  3. Step 3: Cross multiply
    3,173.04x = 4,378.85 × 1,978.51
  4. Step 4: Simplify right side
    3,173.04x = 8,663,598.51
  5. Step 5: Solve for x
    x = 8,663,598.51/3,173.04
  6. Step 6: Final answer
    x = 2,730.38

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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.