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Finding the Fourth Proportional to 2,033.84, 3,051.20 and 647.26

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Solution

The fourth proportional to 2,033.84, 3,051.20 and 647.26 is: 971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.84 : 3,051.20 = 647.26 : x
  2. Step 2: Convert to fraction form
    2,033.84/3,051.20 = 647.26/x
  3. Step 3: Cross multiply
    2,033.84x = 3,051.20 × 647.26
  4. Step 4: Simplify right side
    2,033.84x = 1,974,913.70
  5. Step 5: Solve for x
    x = 1,974,913.70/2,033.84
  6. Step 6: Final answer
    x = 971.03

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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.