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Finding the Fourth Proportional to 1,742.85, 2,613.66 and 768.69

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Solution

The fourth proportional to 1,742.85, 2,613.66 and 768.69 is: 1,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.85 : 2,613.66 = 768.69 : x
  2. Step 2: Convert to fraction form
    1,742.85/2,613.66 = 768.69/x
  3. Step 3: Cross multiply
    1,742.85x = 2,613.66 × 768.69
  4. Step 4: Simplify right side
    1,742.85x = 2,009,094.31
  5. Step 5: Solve for x
    x = 2,009,094.31/1,742.85
  6. Step 6: Final answer
    x = 1,152.76

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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.