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Finding the Fourth Proportional to 1,970.79, 2,956.18 and 995.75

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Solution

The fourth proportional to 1,970.79, 2,956.18 and 995.75 is: 1,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.79 : 2,956.18 = 995.75 : x
  2. Step 2: Convert to fraction form
    1,970.79/2,956.18 = 995.75/x
  3. Step 3: Cross multiply
    1,970.79x = 2,956.18 × 995.75
  4. Step 4: Simplify right side
    1,970.79x = 2,943,616.24
  5. Step 5: Solve for x
    x = 2,943,616.24/1,970.79
  6. Step 6: Final answer
    x = 1,493.62

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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.