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Finding the Fourth Proportional to 2,135.57, 2,950.32 and 1,824.02

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Solution

The fourth proportional to 2,135.57, 2,950.32 and 1,824.02 is: 2,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.57 : 2,950.32 = 1,824.02 : x
  2. Step 2: Convert to fraction form
    2,135.57/2,950.32 = 1,824.02/x
  3. Step 3: Cross multiply
    2,135.57x = 2,950.32 × 1,824.02
  4. Step 4: Simplify right side
    2,135.57x = 5,381,445.84
  5. Step 5: Solve for x
    x = 5,381,445.84/2,135.57
  6. Step 6: Final answer
    x = 2,519.92

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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.