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Finding the Fourth Proportional to 2,321.28, 3,482.64 and 677.86

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Solution

The fourth proportional to 2,321.28, 3,482.64 and 677.86 is: 1,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.28 : 3,482.64 = 677.86 : x
  2. Step 2: Convert to fraction form
    2,321.28/3,482.64 = 677.86/x
  3. Step 3: Cross multiply
    2,321.28x = 3,482.64 × 677.86
  4. Step 4: Simplify right side
    2,321.28x = 2,360,742.35
  5. Step 5: Solve for x
    x = 2,360,742.35/2,321.28
  6. Step 6: Final answer
    x = 1,017.00

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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.