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Finding the Fourth Proportional to 2,506.74, 3,755.20 and 1,411.80

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Solution

The fourth proportional to 2,506.74, 3,755.20 and 1,411.80 is: 2,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.74 : 3,755.20 = 1,411.80 : x
  2. Step 2: Convert to fraction form
    2,506.74/3,755.20 = 1,411.80/x
  3. Step 3: Cross multiply
    2,506.74x = 3,755.20 × 1,411.80
  4. Step 4: Simplify right side
    2,506.74x = 5,301,591.36
  5. Step 5: Solve for x
    x = 5,301,591.36/2,506.74
  6. Step 6: Final answer
    x = 2,114.93

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Why These Related Problems?

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