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Finding the Fourth Proportional to 1,969.94, 2,954.70 and 929.67

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Solution

The fourth proportional to 1,969.94, 2,954.70 and 929.67 is: 1,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.94 : 2,954.70 = 929.67 : x
  2. Step 2: Convert to fraction form
    1,969.94/2,954.70 = 929.67/x
  3. Step 3: Cross multiply
    1,969.94x = 2,954.70 × 929.67
  4. Step 4: Simplify right side
    1,969.94x = 2,746,895.95
  5. Step 5: Solve for x
    x = 2,746,895.95/1,969.94
  6. Step 6: Final answer
    x = 1,394.41

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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.