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Finding the Fourth Proportional to 1,756.42, 2,632.89 and 830.34

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Solution

The fourth proportional to 1,756.42, 2,632.89 and 830.34 is: 1,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.42 : 2,632.89 = 830.34 : x
  2. Step 2: Convert to fraction form
    1,756.42/2,632.89 = 830.34/x
  3. Step 3: Cross multiply
    1,756.42x = 2,632.89 × 830.34
  4. Step 4: Simplify right side
    1,756.42x = 2,186,193.88
  5. Step 5: Solve for x
    x = 2,186,193.88/1,756.42
  6. Step 6: Final answer
    x = 1,244.69

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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.