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Finding the Fourth Proportional to 2,357.20, 3,252.84 and 1,362.76

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Solution

The fourth proportional to 2,357.20, 3,252.84 and 1,362.76 is: 1,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.20 : 3,252.84 = 1,362.76 : x
  2. Step 2: Convert to fraction form
    2,357.20/3,252.84 = 1,362.76/x
  3. Step 3: Cross multiply
    2,357.20x = 3,252.84 × 1,362.76
  4. Step 4: Simplify right side
    2,357.20x = 4,432,840.24
  5. Step 5: Solve for x
    x = 4,432,840.24/2,357.20
  6. Step 6: Final answer
    x = 1,880.55

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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.