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Finding the Fourth Proportional to 2,357.80, 3,252.18 and 1,519.57

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Solution

The fourth proportional to 2,357.80, 3,252.18 and 1,519.57 is: 2,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.80 : 3,252.18 = 1,519.57 : x
  2. Step 2: Convert to fraction form
    2,357.80/3,252.18 = 1,519.57/x
  3. Step 3: Cross multiply
    2,357.80x = 3,252.18 × 1,519.57
  4. Step 4: Simplify right side
    2,357.80x = 4,941,915.16
  5. Step 5: Solve for x
    x = 4,941,915.16/2,357.80
  6. Step 6: Final answer
    x = 2,095.99

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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.