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Finding the Fourth Proportional to 2,977.79, 4,109.54 and 1,719.08

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Solution

The fourth proportional to 2,977.79, 4,109.54 and 1,719.08 is: 2,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.79 : 4,109.54 = 1,719.08 : x
  2. Step 2: Convert to fraction form
    2,977.79/4,109.54 = 1,719.08/x
  3. Step 3: Cross multiply
    2,977.79x = 4,109.54 × 1,719.08
  4. Step 4: Simplify right side
    2,977.79x = 7,064,598.88
  5. Step 5: Solve for x
    x = 7,064,598.88/2,977.79
  6. Step 6: Final answer
    x = 2,372.43

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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.