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Finding the Fourth Proportional to 2,357.66, 3,253.42 and 1,309.74

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Solution

The fourth proportional to 2,357.66, 3,253.42 and 1,309.74 is: 1,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.66 : 3,253.42 = 1,309.74 : x
  2. Step 2: Convert to fraction form
    2,357.66/3,253.42 = 1,309.74/x
  3. Step 3: Cross multiply
    2,357.66x = 3,253.42 × 1,309.74
  4. Step 4: Simplify right side
    2,357.66x = 4,261,134.31
  5. Step 5: Solve for x
    x = 4,261,134.31/2,357.66
  6. Step 6: Final answer
    x = 1,807.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.