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Finding the Fourth Proportional to 1,541.22, 2,311.80 and 719.03

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Solution

The fourth proportional to 1,541.22, 2,311.80 and 719.03 is: 1,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.22 : 2,311.80 = 719.03 : x
  2. Step 2: Convert to fraction form
    1,541.22/2,311.80 = 719.03/x
  3. Step 3: Cross multiply
    1,541.22x = 2,311.80 × 719.03
  4. Step 4: Simplify right side
    1,541.22x = 1,662,242.00
  5. Step 5: Solve for x
    x = 1,662,242.00/1,541.22
  6. Step 6: Final answer
    x = 1,078.52

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Why These Related Problems?

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