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Finding the Fourth Proportional to 1,742.25, 2,613.51 and 588

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Solution

The fourth proportional to 1,742.25, 2,613.51 and 588 is: 882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.25 : 2,613.51 = 588 : x
  2. Step 2: Convert to fraction form
    1,742.25/2,613.51 = 588/x
  3. Step 3: Cross multiply
    1,742.25x = 2,613.51 × 588
  4. Step 4: Simplify right side
    1,742.25x = 1,536,743.88
  5. Step 5: Solve for x
    x = 1,536,743.88/1,742.25
  6. Step 6: Final answer
    x = 882.05

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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.