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Finding the Fourth Proportional to 1,742.31, 2,613.11 and 646.65

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Solution

The fourth proportional to 1,742.31, 2,613.11 and 646.65 is: 969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.31 : 2,613.11 = 646.65 : x
  2. Step 2: Convert to fraction form
    1,742.31/2,613.11 = 646.65/x
  3. Step 3: Cross multiply
    1,742.31x = 2,613.11 × 646.65
  4. Step 4: Simplify right side
    1,742.31x = 1,689,764.35
  5. Step 5: Solve for x
    x = 1,689,764.35/1,742.31
  6. Step 6: Final answer
    x = 969.84

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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.