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Finding the Fourth Proportional to 1,965.26, 2,947.89 and 924.62

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Solution

The fourth proportional to 1,965.26, 2,947.89 and 924.62 is: 1,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.26 : 2,947.89 = 924.62 : x
  2. Step 2: Convert to fraction form
    1,965.26/2,947.89 = 924.62/x
  3. Step 3: Cross multiply
    1,965.26x = 2,947.89 × 924.62
  4. Step 4: Simplify right side
    1,965.26x = 2,725,663.31
  5. Step 5: Solve for x
    x = 2,725,663.31/1,965.26
  6. Step 6: Final answer
    x = 1,386.92

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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.