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Finding the Fourth Proportional to 1,742.16, 2,613.78 and 588

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Solution

The fourth proportional to 1,742.16, 2,613.78 and 588 is: 882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.16 : 2,613.78 = 588 : x
  2. Step 2: Convert to fraction form
    1,742.16/2,613.78 = 588/x
  3. Step 3: Cross multiply
    1,742.16x = 2,613.78 × 588
  4. Step 4: Simplify right side
    1,742.16x = 1,536,902.64
  5. Step 5: Solve for x
    x = 1,536,902.64/1,742.16
  6. Step 6: Final answer
    x = 882.18

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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.