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Finding the Fourth Proportional to 2,969.06, 4,455.14 and 2,154.06

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Solution

The fourth proportional to 2,969.06, 4,455.14 and 2,154.06 is: 3,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.06 : 4,455.14 = 2,154.06 : x
  2. Step 2: Convert to fraction form
    2,969.06/4,455.14 = 2,154.06/x
  3. Step 3: Cross multiply
    2,969.06x = 4,455.14 × 2,154.06
  4. Step 4: Simplify right side
    2,969.06x = 9,596,628.10
  5. Step 5: Solve for x
    x = 9,596,628.10/2,969.06
  6. Step 6: Final answer
    x = 3,232.21

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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.