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Finding the Fourth Proportional to 2,357.21, 3,253.02 and 1,362.40

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Solution

The fourth proportional to 2,357.21, 3,253.02 and 1,362.40 is: 1,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.21 : 3,253.02 = 1,362.40 : x
  2. Step 2: Convert to fraction form
    2,357.21/3,253.02 = 1,362.40/x
  3. Step 3: Cross multiply
    2,357.21x = 3,253.02 × 1,362.40
  4. Step 4: Simplify right side
    2,357.21x = 4,431,914.45
  5. Step 5: Solve for x
    x = 4,431,914.45/2,357.21
  6. Step 6: Final answer
    x = 1,880.15

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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.