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Finding the Fourth Proportional to 1,860.42, 2,787.43 and 1,311.45

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Solution

The fourth proportional to 1,860.42, 2,787.43 and 1,311.45 is: 1,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.42 : 2,787.43 = 1,311.45 : x
  2. Step 2: Convert to fraction form
    1,860.42/2,787.43 = 1,311.45/x
  3. Step 3: Cross multiply
    1,860.42x = 2,787.43 × 1,311.45
  4. Step 4: Simplify right side
    1,860.42x = 3,655,575.07
  5. Step 5: Solve for x
    x = 3,655,575.07/1,860.42
  6. Step 6: Final answer
    x = 1,964.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.