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Finding the Fourth Proportional to 2,130.43, 3,195.39 and 570.55

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Solution

The fourth proportional to 2,130.43, 3,195.39 and 570.55 is: 855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.43 : 3,195.39 = 570.55 : x
  2. Step 2: Convert to fraction form
    2,130.43/3,195.39 = 570.55/x
  3. Step 3: Cross multiply
    2,130.43x = 3,195.39 × 570.55
  4. Step 4: Simplify right side
    2,130.43x = 1,823,129.76
  5. Step 5: Solve for x
    x = 1,823,129.76/2,130.43
  6. Step 6: Final answer
    x = 855.76

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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.