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Finding the Fourth Proportional to 2,397.13, 3,596.21 and 1,357.63

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Solution

The fourth proportional to 2,397.13, 3,596.21 and 1,357.63 is: 2,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.13 : 3,596.21 = 1,357.63 : x
  2. Step 2: Convert to fraction form
    2,397.13/3,596.21 = 1,357.63/x
  3. Step 3: Cross multiply
    2,397.13x = 3,596.21 × 1,357.63
  4. Step 4: Simplify right side
    2,397.13x = 4,882,304.60
  5. Step 5: Solve for x
    x = 4,882,304.60/2,397.13
  6. Step 6: Final answer
    x = 2,036.73

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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.