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Finding the Fourth Proportional to 1,811.98, 2,719.77 and 1,061.74

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Solution

The fourth proportional to 1,811.98, 2,719.77 and 1,061.74 is: 1,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.98 : 2,719.77 = 1,061.74 : x
  2. Step 2: Convert to fraction form
    1,811.98/2,719.77 = 1,061.74/x
  3. Step 3: Cross multiply
    1,811.98x = 2,719.77 × 1,061.74
  4. Step 4: Simplify right side
    1,811.98x = 2,887,688.60
  5. Step 5: Solve for x
    x = 2,887,688.60/1,811.98
  6. Step 6: Final answer
    x = 1,593.66

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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.