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Finding the Fourth Proportional to 2,012.50, 2,777.25 and 1,313.88

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Solution

The fourth proportional to 2,012.50, 2,777.25 and 1,313.88 is: 1,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.50 : 2,777.25 = 1,313.88 : x
  2. Step 2: Convert to fraction form
    2,012.50/2,777.25 = 1,313.88/x
  3. Step 3: Cross multiply
    2,012.50x = 2,777.25 × 1,313.88
  4. Step 4: Simplify right side
    2,012.50x = 3,648,973.23
  5. Step 5: Solve for x
    x = 3,648,973.23/2,012.50
  6. Step 6: Final answer
    x = 1,813.15

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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.