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Finding the Fourth Proportional to 1,970.72, 2,956.96 and 997.50

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Solution

The fourth proportional to 1,970.72, 2,956.96 and 997.50 is: 1,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.72 : 2,956.96 = 997.50 : x
  2. Step 2: Convert to fraction form
    1,970.72/2,956.96 = 997.50/x
  3. Step 3: Cross multiply
    1,970.72x = 2,956.96 × 997.50
  4. Step 4: Simplify right side
    1,970.72x = 2,949,567.60
  5. Step 5: Solve for x
    x = 2,949,567.60/1,970.72
  6. Step 6: Final answer
    x = 1,496.70

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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.