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Finding the Fourth Proportional to 2,541.05, 3,810.62 and 874.70

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Solution

The fourth proportional to 2,541.05, 3,810.62 and 874.70 is: 1,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.05 : 3,810.62 = 874.70 : x
  2. Step 2: Convert to fraction form
    2,541.05/3,810.62 = 874.70/x
  3. Step 3: Cross multiply
    2,541.05x = 3,810.62 × 874.70
  4. Step 4: Simplify right side
    2,541.05x = 3,333,149.31
  5. Step 5: Solve for x
    x = 3,333,149.31/2,541.05
  6. Step 6: Final answer
    x = 1,311.72

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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.