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Finding the Fourth Proportional to 2,378.16, 3,567.24 and 734.77

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Solution

The fourth proportional to 2,378.16, 3,567.24 and 734.77 is: 1,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.16 : 3,567.24 = 734.77 : x
  2. Step 2: Convert to fraction form
    2,378.16/3,567.24 = 734.77/x
  3. Step 3: Cross multiply
    2,378.16x = 3,567.24 × 734.77
  4. Step 4: Simplify right side
    2,378.16x = 2,621,105.39
  5. Step 5: Solve for x
    x = 2,621,105.39/2,378.16
  6. Step 6: Final answer
    x = 1,102.16

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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.