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Finding the Fourth Proportional to 2,009.71, 3,013.96 and 969.06

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Solution

The fourth proportional to 2,009.71, 3,013.96 and 969.06 is: 1,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.71 : 3,013.96 = 969.06 : x
  2. Step 2: Convert to fraction form
    2,009.71/3,013.96 = 969.06/x
  3. Step 3: Cross multiply
    2,009.71x = 3,013.96 × 969.06
  4. Step 4: Simplify right side
    2,009.71x = 2,920,718.77
  5. Step 5: Solve for x
    x = 2,920,718.77/2,009.71
  6. Step 6: Final answer
    x = 1,453.30

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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.