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Finding the Fourth Proportional to 1,872.96, 2,585.73 and 1,315.14

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Solution

The fourth proportional to 1,872.96, 2,585.73 and 1,315.14 is: 1,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.96 : 2,585.73 = 1,315.14 : x
  2. Step 2: Convert to fraction form
    1,872.96/2,585.73 = 1,315.14/x
  3. Step 3: Cross multiply
    1,872.96x = 2,585.73 × 1,315.14
  4. Step 4: Simplify right side
    1,872.96x = 3,400,596.95
  5. Step 5: Solve for x
    x = 3,400,596.95/1,872.96
  6. Step 6: Final answer
    x = 1,815.63

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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.