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Finding the Fourth Proportional to 2,782.38, 4,173.58 and 2,368.88

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Solution

The fourth proportional to 2,782.38, 4,173.58 and 2,368.88 is: 3,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.38 : 4,173.58 = 2,368.88 : x
  2. Step 2: Convert to fraction form
    2,782.38/4,173.58 = 2,368.88/x
  3. Step 3: Cross multiply
    2,782.38x = 4,173.58 × 2,368.88
  4. Step 4: Simplify right side
    2,782.38x = 9,886,694.61
  5. Step 5: Solve for x
    x = 9,886,694.61/2,782.38
  6. Step 6: Final answer
    x = 3,553.32

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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.