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Finding the Fourth Proportional to 2,130.82, 3,196.38 and 570.78

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Solution

The fourth proportional to 2,130.82, 3,196.38 and 570.78 is: 856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.82 : 3,196.38 = 570.78 : x
  2. Step 2: Convert to fraction form
    2,130.82/3,196.38 = 570.78/x
  3. Step 3: Cross multiply
    2,130.82x = 3,196.38 × 570.78
  4. Step 4: Simplify right side
    2,130.82x = 1,824,429.78
  5. Step 5: Solve for x
    x = 1,824,429.78/2,130.82
  6. Step 6: Final answer
    x = 856.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.