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Finding the Fourth Proportional to 2,550.84, 3,825.64 and 702.06

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Solution

The fourth proportional to 2,550.84, 3,825.64 and 702.06 is: 1,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.84 : 3,825.64 = 702.06 : x
  2. Step 2: Convert to fraction form
    2,550.84/3,825.64 = 702.06/x
  3. Step 3: Cross multiply
    2,550.84x = 3,825.64 × 702.06
  4. Step 4: Simplify right side
    2,550.84x = 2,685,828.82
  5. Step 5: Solve for x
    x = 2,685,828.82/2,550.84
  6. Step 6: Final answer
    x = 1,052.92

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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.