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Finding the Fourth Proportional to 1,874.50, 2,811.29 and 777.81

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Solution

The fourth proportional to 1,874.50, 2,811.29 and 777.81 is: 1,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.50 : 2,811.29 = 777.81 : x
  2. Step 2: Convert to fraction form
    1,874.50/2,811.29 = 777.81/x
  3. Step 3: Cross multiply
    1,874.50x = 2,811.29 × 777.81
  4. Step 4: Simplify right side
    1,874.50x = 2,186,645.59
  5. Step 5: Solve for x
    x = 2,186,645.59/1,874.50
  6. Step 6: Final answer
    x = 1,166.52

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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.