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Finding the Fourth Proportional to 2,109.70, 3,164.55 and 570.70

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Solution

The fourth proportional to 2,109.70, 3,164.55 and 570.70 is: 856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.70 : 3,164.55 = 570.70 : x
  2. Step 2: Convert to fraction form
    2,109.70/3,164.55 = 570.70/x
  3. Step 3: Cross multiply
    2,109.70x = 3,164.55 × 570.70
  4. Step 4: Simplify right side
    2,109.70x = 1,806,008.69
  5. Step 5: Solve for x
    x = 1,806,008.69/2,109.70
  6. Step 6: Final answer
    x = 856.05

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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.