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Finding the Fourth Proportional to 2,506.77, 3,760.02 and 1,119.24

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Solution

The fourth proportional to 2,506.77, 3,760.02 and 1,119.24 is: 1,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.77 : 3,760.02 = 1,119.24 : x
  2. Step 2: Convert to fraction form
    2,506.77/3,760.02 = 1,119.24/x
  3. Step 3: Cross multiply
    2,506.77x = 3,760.02 × 1,119.24
  4. Step 4: Simplify right side
    2,506.77x = 4,208,364.78
  5. Step 5: Solve for x
    x = 4,208,364.78/2,506.77
  6. Step 6: Final answer
    x = 1,678.80

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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.