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Finding the Fourth Proportional to 1,812.77, 2,715.03 and 1,771.76

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Solution

The fourth proportional to 1,812.77, 2,715.03 and 1,771.76 is: 2,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.77 : 2,715.03 = 1,771.76 : x
  2. Step 2: Convert to fraction form
    1,812.77/2,715.03 = 1,771.76/x
  3. Step 3: Cross multiply
    1,812.77x = 2,715.03 × 1,771.76
  4. Step 4: Simplify right side
    1,812.77x = 4,810,381.55
  5. Step 5: Solve for x
    x = 4,810,381.55/1,812.77
  6. Step 6: Final answer
    x = 2,653.61

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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.