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Finding the Fourth Proportional to 2,012.62, 2,776.71 and 1,312.78

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Solution

The fourth proportional to 2,012.62, 2,776.71 and 1,312.78 is: 1,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.62 : 2,776.71 = 1,312.78 : x
  2. Step 2: Convert to fraction form
    2,012.62/2,776.71 = 1,312.78/x
  3. Step 3: Cross multiply
    2,012.62x = 2,776.71 × 1,312.78
  4. Step 4: Simplify right side
    2,012.62x = 3,645,209.35
  5. Step 5: Solve for x
    x = 3,645,209.35/2,012.62
  6. Step 6: Final answer
    x = 1,811.18

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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.