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Finding the Fourth Proportional to 1,996.48, 2,994.24 and 970.24

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Solution

The fourth proportional to 1,996.48, 2,994.24 and 970.24 is: 1,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.48 : 2,994.24 = 970.24 : x
  2. Step 2: Convert to fraction form
    1,996.48/2,994.24 = 970.24/x
  3. Step 3: Cross multiply
    1,996.48x = 2,994.24 × 970.24
  4. Step 4: Simplify right side
    1,996.48x = 2,905,131.42
  5. Step 5: Solve for x
    x = 2,905,131.42/1,996.48
  6. Step 6: Final answer
    x = 1,455.13

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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.