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Finding the Fourth Proportional to 2,109.76, 3,164.64 and 570.76

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Solution

The fourth proportional to 2,109.76, 3,164.64 and 570.76 is: 856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.76 : 3,164.64 = 570.76 : x
  2. Step 2: Convert to fraction form
    2,109.76/3,164.64 = 570.76/x
  3. Step 3: Cross multiply
    2,109.76x = 3,164.64 × 570.76
  4. Step 4: Simplify right side
    2,109.76x = 1,806,249.93
  5. Step 5: Solve for x
    x = 1,806,249.93/2,109.76
  6. Step 6: Final answer
    x = 856.14

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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.