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Finding the Fourth Proportional to 2,357.33, 3,532.56 and 1,300.88

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Solution

The fourth proportional to 2,357.33, 3,532.56 and 1,300.88 is: 1,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.33 : 3,532.56 = 1,300.88 : x
  2. Step 2: Convert to fraction form
    2,357.33/3,532.56 = 1,300.88/x
  3. Step 3: Cross multiply
    2,357.33x = 3,532.56 × 1,300.88
  4. Step 4: Simplify right side
    2,357.33x = 4,595,418.99
  5. Step 5: Solve for x
    x = 4,595,418.99/2,357.33
  6. Step 6: Final answer
    x = 1,949.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.