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Finding the Fourth Proportional to 1,541.34, 2,313.51 and 719.79

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Solution

The fourth proportional to 1,541.34, 2,313.51 and 719.79 is: 1,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.34 : 2,313.51 = 719.79 : x
  2. Step 2: Convert to fraction form
    1,541.34/2,313.51 = 719.79/x
  3. Step 3: Cross multiply
    1,541.34x = 2,313.51 × 719.79
  4. Step 4: Simplify right side
    1,541.34x = 1,665,241.36
  5. Step 5: Solve for x
    x = 1,665,241.36/1,541.34
  6. Step 6: Final answer
    x = 1,080.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.