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Finding the Fourth Proportional to 2,384.55, 3,575.43 and 2,118.06

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Solution

The fourth proportional to 2,384.55, 3,575.43 and 2,118.06 is: 3,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.55 : 3,575.43 = 2,118.06 : x
  2. Step 2: Convert to fraction form
    2,384.55/3,575.43 = 2,118.06/x
  3. Step 3: Cross multiply
    2,384.55x = 3,575.43 × 2,118.06
  4. Step 4: Simplify right side
    2,384.55x = 7,572,975.27
  5. Step 5: Solve for x
    x = 7,572,975.27/2,384.55
  6. Step 6: Final answer
    x = 3,175.85

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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.