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Finding the Fourth Proportional to 1,811.70, 2,499.56 and 1,065.92

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Solution

The fourth proportional to 1,811.70, 2,499.56 and 1,065.92 is: 1,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.70 : 2,499.56 = 1,065.92 : x
  2. Step 2: Convert to fraction form
    1,811.70/2,499.56 = 1,065.92/x
  3. Step 3: Cross multiply
    1,811.70x = 2,499.56 × 1,065.92
  4. Step 4: Simplify right side
    1,811.70x = 2,664,313.17
  5. Step 5: Solve for x
    x = 2,664,313.17/1,811.70
  6. Step 6: Final answer
    x = 1,470.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.