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Finding the Fourth Proportional to 2,357.40, 3,251.64 and 1,796.58

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Solution

The fourth proportional to 2,357.40, 3,251.64 and 1,796.58 is: 2,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.40 : 3,251.64 = 1,796.58 : x
  2. Step 2: Convert to fraction form
    2,357.40/3,251.64 = 1,796.58/x
  3. Step 3: Cross multiply
    2,357.40x = 3,251.64 × 1,796.58
  4. Step 4: Simplify right side
    2,357.40x = 5,841,838.13
  5. Step 5: Solve for x
    x = 5,841,838.13/2,357.40
  6. Step 6: Final answer
    x = 2,478.08

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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.