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Finding the Fourth Proportional to 2,562.51, 3,838.19 and 1,684.02

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Solution

The fourth proportional to 2,562.51, 3,838.19 and 1,684.02 is: 2,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.51 : 3,838.19 = 1,684.02 : x
  2. Step 2: Convert to fraction form
    2,562.51/3,838.19 = 1,684.02/x
  3. Step 3: Cross multiply
    2,562.51x = 3,838.19 × 1,684.02
  4. Step 4: Simplify right side
    2,562.51x = 6,463,580.30
  5. Step 5: Solve for x
    x = 6,463,580.30/2,562.51
  6. Step 6: Final answer
    x = 2,522.36

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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.