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Finding the Fourth Proportional to 2,977.52, 4,109.54 and 1,719.32

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Solution

The fourth proportional to 2,977.52, 4,109.54 and 1,719.32 is: 2,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.52 : 4,109.54 = 1,719.32 : x
  2. Step 2: Convert to fraction form
    2,977.52/4,109.54 = 1,719.32/x
  3. Step 3: Cross multiply
    2,977.52x = 4,109.54 × 1,719.32
  4. Step 4: Simplify right side
    2,977.52x = 7,065,614.31
  5. Step 5: Solve for x
    x = 7,065,614.31/2,977.52
  6. Step 6: Final answer
    x = 2,372.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.