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Finding the Fourth Proportional to 1,540.23, 2,311.74 and 718.98

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Solution

The fourth proportional to 1,540.23, 2,311.74 and 718.98 is: 1,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.23 : 2,311.74 = 718.98 : x
  2. Step 2: Convert to fraction form
    1,540.23/2,311.74 = 718.98/x
  3. Step 3: Cross multiply
    1,540.23x = 2,311.74 × 718.98
  4. Step 4: Simplify right side
    1,540.23x = 1,662,094.83
  5. Step 5: Solve for x
    x = 1,662,094.83/1,540.23
  6. Step 6: Final answer
    x = 1,079.12

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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.