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Finding the Fourth Proportional to 1,742.29, 2,613.43 and 646.43

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Solution

The fourth proportional to 1,742.29, 2,613.43 and 646.43 is: 969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.29 : 2,613.43 = 646.43 : x
  2. Step 2: Convert to fraction form
    1,742.29/2,613.43 = 646.43/x
  3. Step 3: Cross multiply
    1,742.29x = 2,613.43 × 646.43
  4. Step 4: Simplify right side
    1,742.29x = 1,689,409.35
  5. Step 5: Solve for x
    x = 1,689,409.35/1,742.29
  6. Step 6: Final answer
    x = 969.65

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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.