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Finding the Fourth Proportional to 1,741.63, 2,612.44 and 587.38

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Solution

The fourth proportional to 1,741.63, 2,612.44 and 587.38 is: 881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.63 : 2,612.44 = 587.38 : x
  2. Step 2: Convert to fraction form
    1,741.63/2,612.44 = 587.38/x
  3. Step 3: Cross multiply
    1,741.63x = 2,612.44 × 587.38
  4. Step 4: Simplify right side
    1,741.63x = 1,534,481.95
  5. Step 5: Solve for x
    x = 1,534,481.95/1,741.63
  6. Step 6: Final answer
    x = 881.06

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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.