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Finding the Fourth Proportional to 2,983.62, 4,475.46 and 792.66

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Solution

The fourth proportional to 2,983.62, 4,475.46 and 792.66 is: 1,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.62 : 4,475.46 = 792.66 : x
  2. Step 2: Convert to fraction form
    2,983.62/4,475.46 = 792.66/x
  3. Step 3: Cross multiply
    2,983.62x = 4,475.46 × 792.66
  4. Step 4: Simplify right side
    2,983.62x = 3,547,518.12
  5. Step 5: Solve for x
    x = 3,547,518.12/2,983.62
  6. Step 6: Final answer
    x = 1,189.00

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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.