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Finding the Fourth Proportional to 1,815.74, 2,507.79 and 1,225.25

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Solution

The fourth proportional to 1,815.74, 2,507.79 and 1,225.25 is: 1,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.74 : 2,507.79 = 1,225.25 : x
  2. Step 2: Convert to fraction form
    1,815.74/2,507.79 = 1,225.25/x
  3. Step 3: Cross multiply
    1,815.74x = 2,507.79 × 1,225.25
  4. Step 4: Simplify right side
    1,815.74x = 3,072,669.70
  5. Step 5: Solve for x
    x = 3,072,669.70/1,815.74
  6. Step 6: Final answer
    x = 1,692.24

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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.