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Finding the Fourth Proportional to 2,966.64, 4,444.74 and 1,978.92

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Solution

The fourth proportional to 2,966.64, 4,444.74 and 1,978.92 is: 2,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.64 : 4,444.74 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    2,966.64/4,444.74 = 1,978.92/x
  3. Step 3: Cross multiply
    2,966.64x = 4,444.74 × 1,978.92
  4. Step 4: Simplify right side
    2,966.64x = 8,795,784.88
  5. Step 5: Solve for x
    x = 8,795,784.88/2,966.64
  6. Step 6: Final answer
    x = 2,964.90

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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.