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Finding the Fourth Proportional to 1,754.56, 2,632.56 and 830.72

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Solution

The fourth proportional to 1,754.56, 2,632.56 and 830.72 is: 1,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.56 : 2,632.56 = 830.72 : x
  2. Step 2: Convert to fraction form
    1,754.56/2,632.56 = 830.72/x
  3. Step 3: Cross multiply
    1,754.56x = 2,632.56 × 830.72
  4. Step 4: Simplify right side
    1,754.56x = 2,186,920.24
  5. Step 5: Solve for x
    x = 2,186,920.24/1,754.56
  6. Step 6: Final answer
    x = 1,246.42

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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.