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Finding the Fourth Proportional to 1,742.06, 2,610.64 and 962.42

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Solution

The fourth proportional to 1,742.06, 2,610.64 and 962.42 is: 1,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.06 : 2,610.64 = 962.42 : x
  2. Step 2: Convert to fraction form
    1,742.06/2,610.64 = 962.42/x
  3. Step 3: Cross multiply
    1,742.06x = 2,610.64 × 962.42
  4. Step 4: Simplify right side
    1,742.06x = 2,512,514.28
  5. Step 5: Solve for x
    x = 2,512,514.28/1,742.06
  6. Step 6: Final answer
    x = 1,442.27

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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.