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Finding the Fourth Proportional to 2,152.70, 3,226.35 and 1,574.90

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Solution

The fourth proportional to 2,152.70, 3,226.35 and 1,574.90 is: 2,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.70 : 3,226.35 = 1,574.90 : x
  2. Step 2: Convert to fraction form
    2,152.70/3,226.35 = 1,574.90/x
  3. Step 3: Cross multiply
    2,152.70x = 3,226.35 × 1,574.90
  4. Step 4: Simplify right side
    2,152.70x = 5,081,178.62
  5. Step 5: Solve for x
    x = 5,081,178.62/2,152.70
  6. Step 6: Final answer
    x = 2,360.37

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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.