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Finding the Fourth Proportional to 2,357.70, 3,253.53 and 1,309.83

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Solution

The fourth proportional to 2,357.70, 3,253.53 and 1,309.83 is: 1,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.70 : 3,253.53 = 1,309.83 : x
  2. Step 2: Convert to fraction form
    2,357.70/3,253.53 = 1,309.83/x
  3. Step 3: Cross multiply
    2,357.70x = 3,253.53 × 1,309.83
  4. Step 4: Simplify right side
    2,357.70x = 4,261,571.20
  5. Step 5: Solve for x
    x = 4,261,571.20/2,357.70
  6. Step 6: Final answer
    x = 1,807.51

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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.