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Finding the Fourth Proportional to 1,660.29, 2,488.26 and 838.11

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Solution

The fourth proportional to 1,660.29, 2,488.26 and 838.11 is: 1,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.29 : 2,488.26 = 838.11 : x
  2. Step 2: Convert to fraction form
    1,660.29/2,488.26 = 838.11/x
  3. Step 3: Cross multiply
    1,660.29x = 2,488.26 × 838.11
  4. Step 4: Simplify right side
    1,660.29x = 2,085,448.06
  5. Step 5: Solve for x
    x = 2,085,448.06/1,660.29
  6. Step 6: Final answer
    x = 1,256.08

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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.