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Finding the Fourth Proportional to 2,510.66, 3,768.02 and 1,771.77

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Solution

The fourth proportional to 2,510.66, 3,768.02 and 1,771.77 is: 2,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.66 : 3,768.02 = 1,771.77 : x
  2. Step 2: Convert to fraction form
    2,510.66/3,768.02 = 1,771.77/x
  3. Step 3: Cross multiply
    2,510.66x = 3,768.02 × 1,771.77
  4. Step 4: Simplify right side
    2,510.66x = 6,676,055.94
  5. Step 5: Solve for x
    x = 6,676,055.94/2,510.66
  6. Step 6: Final answer
    x = 2,659.09

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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.