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Finding the Fourth Proportional to 1,973.46, 2,960.15 and 512.50

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Solution

The fourth proportional to 1,973.46, 2,960.15 and 512.50 is: 768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.46 : 2,960.15 = 512.50 : x
  2. Step 2: Convert to fraction form
    1,973.46/2,960.15 = 512.50/x
  3. Step 3: Cross multiply
    1,973.46x = 2,960.15 × 512.50
  4. Step 4: Simplify right side
    1,973.46x = 1,517,076.88
  5. Step 5: Solve for x
    x = 1,517,076.88/1,973.46
  6. Step 6: Final answer
    x = 768.74

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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.