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Finding the Fourth Proportional to 2,594.16, 3,893.76 and 2,453.69

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Solution

The fourth proportional to 2,594.16, 3,893.76 and 2,453.69 is: 3,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.16 : 3,893.76 = 2,453.69 : x
  2. Step 2: Convert to fraction form
    2,594.16/3,893.76 = 2,453.69/x
  3. Step 3: Cross multiply
    2,594.16x = 3,893.76 × 2,453.69
  4. Step 4: Simplify right side
    2,594.16x = 9,554,089.71
  5. Step 5: Solve for x
    x = 9,554,089.71/2,594.16
  6. Step 6: Final answer
    x = 3,682.92

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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.