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Finding the Fourth Proportional to 2,978.10, 4,109.72 and 1,719.15

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Solution

The fourth proportional to 2,978.10, 4,109.72 and 1,719.15 is: 2,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.10 : 4,109.72 = 1,719.15 : x
  2. Step 2: Convert to fraction form
    2,978.10/4,109.72 = 1,719.15/x
  3. Step 3: Cross multiply
    2,978.10x = 4,109.72 × 1,719.15
  4. Step 4: Simplify right side
    2,978.10x = 7,065,216.54
  5. Step 5: Solve for x
    x = 7,065,216.54/2,978.10
  6. Step 6: Final answer
    x = 2,372.39

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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.