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Finding the Fourth Proportional to 1,970.12, 2,953.28 and 670.88

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Solution

The fourth proportional to 1,970.12, 2,953.28 and 670.88 is: 1,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.12 : 2,953.28 = 670.88 : x
  2. Step 2: Convert to fraction form
    1,970.12/2,953.28 = 670.88/x
  3. Step 3: Cross multiply
    1,970.12x = 2,953.28 × 670.88
  4. Step 4: Simplify right side
    1,970.12x = 1,981,296.49
  5. Step 5: Solve for x
    x = 1,981,296.49/1,970.12
  6. Step 6: Final answer
    x = 1,005.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.