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Finding the Fourth Proportional to 2,120.52, 3,177.90 and 1,574.76

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Solution

The fourth proportional to 2,120.52, 3,177.90 and 1,574.76 is: 2,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.52 : 3,177.90 = 1,574.76 : x
  2. Step 2: Convert to fraction form
    2,120.52/3,177.90 = 1,574.76/x
  3. Step 3: Cross multiply
    2,120.52x = 3,177.90 × 1,574.76
  4. Step 4: Simplify right side
    2,120.52x = 5,004,429.80
  5. Step 5: Solve for x
    x = 5,004,429.80/2,120.52
  6. Step 6: Final answer
    x = 2,360.00

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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.