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Finding the Fourth Proportional to 2,655.64, 3,977.70 and 1,923.64

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Solution

The fourth proportional to 2,655.64, 3,977.70 and 1,923.64 is: 2,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.64 : 3,977.70 = 1,923.64 : x
  2. Step 2: Convert to fraction form
    2,655.64/3,977.70 = 1,923.64/x
  3. Step 3: Cross multiply
    2,655.64x = 3,977.70 × 1,923.64
  4. Step 4: Simplify right side
    2,655.64x = 7,651,662.83
  5. Step 5: Solve for x
    x = 7,651,662.83/2,655.64
  6. Step 6: Final answer
    x = 2,881.29

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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.