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Finding the Fourth Proportional to 1,754.88, 2,628.56 and 1,136.74

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Solution

The fourth proportional to 1,754.88, 2,628.56 and 1,136.74 is: 1,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.88 : 2,628.56 = 1,136.74 : x
  2. Step 2: Convert to fraction form
    1,754.88/2,628.56 = 1,136.74/x
  3. Step 3: Cross multiply
    1,754.88x = 2,628.56 × 1,136.74
  4. Step 4: Simplify right side
    1,754.88x = 2,987,989.29
  5. Step 5: Solve for x
    x = 2,987,989.29/1,754.88
  6. Step 6: Final answer
    x = 1,702.67

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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.