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Finding the Fourth Proportional to 1,742.66, 2,614.26 and 588.32

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Solution

The fourth proportional to 1,742.66, 2,614.26 and 588.32 is: 882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.66 : 2,614.26 = 588.32 : x
  2. Step 2: Convert to fraction form
    1,742.66/2,614.26 = 588.32/x
  3. Step 3: Cross multiply
    1,742.66x = 2,614.26 × 588.32
  4. Step 4: Simplify right side
    1,742.66x = 1,538,021.44
  5. Step 5: Solve for x
    x = 1,538,021.44/1,742.66
  6. Step 6: Final answer
    x = 882.57

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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.