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Finding the Fourth Proportional to 2,397.57, 3,596.95 and 2,357.84

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Solution

The fourth proportional to 2,397.57, 3,596.95 and 2,357.84 is: 3,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.57 : 3,596.95 = 2,357.84 : x
  2. Step 2: Convert to fraction form
    2,397.57/3,596.95 = 2,357.84/x
  3. Step 3: Cross multiply
    2,397.57x = 3,596.95 × 2,357.84
  4. Step 4: Simplify right side
    2,397.57x = 8,481,002.81
  5. Step 5: Solve for x
    x = 8,481,002.81/2,397.57
  6. Step 6: Final answer
    x = 3,537.34

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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.