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Finding the Fourth Proportional to 2,069.14, 3,101.06 and 971.08

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Solution

The fourth proportional to 2,069.14, 3,101.06 and 971.08 is: 1,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.14 : 3,101.06 = 971.08 : x
  2. Step 2: Convert to fraction form
    2,069.14/3,101.06 = 971.08/x
  3. Step 3: Cross multiply
    2,069.14x = 3,101.06 × 971.08
  4. Step 4: Simplify right side
    2,069.14x = 3,011,377.34
  5. Step 5: Solve for x
    x = 3,011,377.34/2,069.14
  6. Step 6: Final answer
    x = 1,455.38

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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.