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Finding the Fourth Proportional to 1,741.53, 2,611.47 and 645.15

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Solution

The fourth proportional to 1,741.53, 2,611.47 and 645.15 is: 967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.53 : 2,611.47 = 645.15 : x
  2. Step 2: Convert to fraction form
    1,741.53/2,611.47 = 645.15/x
  3. Step 3: Cross multiply
    1,741.53x = 2,611.47 × 645.15
  4. Step 4: Simplify right side
    1,741.53x = 1,684,789.87
  5. Step 5: Solve for x
    x = 1,684,789.87/1,741.53
  6. Step 6: Final answer
    x = 967.42

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1.5x scale

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.