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Finding the Fourth Proportional to 1,528.65, 2,109.65 and 938.97

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Solution

The fourth proportional to 1,528.65, 2,109.65 and 938.97 is: 1,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.65 : 2,109.65 = 938.97 : x
  2. Step 2: Convert to fraction form
    1,528.65/2,109.65 = 938.97/x
  3. Step 3: Cross multiply
    1,528.65x = 2,109.65 × 938.97
  4. Step 4: Simplify right side
    1,528.65x = 1,980,893.37
  5. Step 5: Solve for x
    x = 1,980,893.37/1,528.65
  6. Step 6: Final answer
    x = 1,295.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.