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Finding the Fourth Proportional to 1,969.32, 2,953.80 and 670.71

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Solution

The fourth proportional to 1,969.32, 2,953.80 and 670.71 is: 1,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.32 : 2,953.80 = 670.71 : x
  2. Step 2: Convert to fraction form
    1,969.32/2,953.80 = 670.71/x
  3. Step 3: Cross multiply
    1,969.32x = 2,953.80 × 670.71
  4. Step 4: Simplify right side
    1,969.32x = 1,981,143.20
  5. Step 5: Solve for x
    x = 1,981,143.20/1,969.32
  6. Step 6: Final answer
    x = 1,006.00

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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.