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Finding the Fourth Proportional to 2,387.46, 3,584.33 and 1,840.11

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Solution

The fourth proportional to 2,387.46, 3,584.33 and 1,840.11 is: 2,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.46 : 3,584.33 = 1,840.11 : x
  2. Step 2: Convert to fraction form
    2,387.46/3,584.33 = 1,840.11/x
  3. Step 3: Cross multiply
    2,387.46x = 3,584.33 × 1,840.11
  4. Step 4: Simplify right side
    2,387.46x = 6,595,561.48
  5. Step 5: Solve for x
    x = 6,595,561.48/2,387.46
  6. Step 6: Final answer
    x = 2,762.59

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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.