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Finding the Fourth Proportional to 1,742.34, 2,613.75 and 588.42

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Solution

The fourth proportional to 1,742.34, 2,613.75 and 588.42 is: 882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.34 : 2,613.75 = 588.42 : x
  2. Step 2: Convert to fraction form
    1,742.34/2,613.75 = 588.42/x
  3. Step 3: Cross multiply
    1,742.34x = 2,613.75 × 588.42
  4. Step 4: Simplify right side
    1,742.34x = 1,537,982.78
  5. Step 5: Solve for x
    x = 1,537,982.78/1,742.34
  6. Step 6: Final answer
    x = 882.71

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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.