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Finding the Fourth Proportional to 3,840.77, 5,756.36 and 1,646.96

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Solution

The fourth proportional to 3,840.77, 5,756.36 and 1,646.96 is: 2,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.77 : 5,756.36 = 1,646.96 : x
  2. Step 2: Convert to fraction form
    3,840.77/5,756.36 = 1,646.96/x
  3. Step 3: Cross multiply
    3,840.77x = 5,756.36 × 1,646.96
  4. Step 4: Simplify right side
    3,840.77x = 9,480,465.88
  5. Step 5: Solve for x
    x = 9,480,465.88/3,840.77
  6. Step 6: Final answer
    x = 2,468.38

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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.