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Finding the Fourth Proportional to 1,741.54, 2,611.22 and 972.58

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Solution

The fourth proportional to 1,741.54, 2,611.22 and 972.58 is: 1,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.54 : 2,611.22 = 972.58 : x
  2. Step 2: Convert to fraction form
    1,741.54/2,611.22 = 972.58/x
  3. Step 3: Cross multiply
    1,741.54x = 2,611.22 × 972.58
  4. Step 4: Simplify right side
    1,741.54x = 2,539,620.35
  5. Step 5: Solve for x
    x = 2,539,620.35/1,741.54
  6. Step 6: Final answer
    x = 1,458.26

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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.