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Finding the Fourth Proportional to 2,756.52, 3,802.26 and 1,636.67

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Solution

The fourth proportional to 2,756.52, 3,802.26 and 1,636.67 is: 2,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.52 : 3,802.26 = 1,636.67 : x
  2. Step 2: Convert to fraction form
    2,756.52/3,802.26 = 1,636.67/x
  3. Step 3: Cross multiply
    2,756.52x = 3,802.26 × 1,636.67
  4. Step 4: Simplify right side
    2,756.52x = 6,223,025.86
  5. Step 5: Solve for x
    x = 6,223,025.86/2,756.52
  6. Step 6: Final answer
    x = 2,257.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.