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Finding the Fourth Proportional to 1,812.57, 2,503.41 and 1,282.78

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Solution

The fourth proportional to 1,812.57, 2,503.41 and 1,282.78 is: 1,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.57 : 2,503.41 = 1,282.78 : x
  2. Step 2: Convert to fraction form
    1,812.57/2,503.41 = 1,282.78/x
  3. Step 3: Cross multiply
    1,812.57x = 2,503.41 × 1,282.78
  4. Step 4: Simplify right side
    1,812.57x = 3,211,322.60
  5. Step 5: Solve for x
    x = 3,211,322.60/1,812.57
  6. Step 6: Final answer
    x = 1,771.70

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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.