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Finding the Fourth Proportional to 1,647.17, 2,469.94 and 607.13

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Solution

The fourth proportional to 1,647.17, 2,469.94 and 607.13 is: 910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.17 : 2,469.94 = 607.13 : x
  2. Step 2: Convert to fraction form
    1,647.17/2,469.94 = 607.13/x
  3. Step 3: Cross multiply
    1,647.17x = 2,469.94 × 607.13
  4. Step 4: Simplify right side
    1,647.17x = 1,499,559.29
  5. Step 5: Solve for x
    x = 1,499,559.29/1,647.17
  6. Step 6: Final answer
    x = 910.39

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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.