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Finding the Fourth Proportional to 1,967.29, 2,951.37 and 651.45

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Solution

The fourth proportional to 1,967.29, 2,951.37 and 651.45 is: 977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.29 : 2,951.37 = 651.45 : x
  2. Step 2: Convert to fraction form
    1,967.29/2,951.37 = 651.45/x
  3. Step 3: Cross multiply
    1,967.29x = 2,951.37 × 651.45
  4. Step 4: Simplify right side
    1,967.29x = 1,922,666.73
  5. Step 5: Solve for x
    x = 1,922,666.73/1,967.29
  6. Step 6: Final answer
    x = 977.32

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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.