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Finding the Fourth Proportional to 1,625.47, 2,438.66 and 652.25

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Solution

The fourth proportional to 1,625.47, 2,438.66 and 652.25 is: 978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.47 : 2,438.66 = 652.25 : x
  2. Step 2: Convert to fraction form
    1,625.47/2,438.66 = 652.25/x
  3. Step 3: Cross multiply
    1,625.47x = 2,438.66 × 652.25
  4. Step 4: Simplify right side
    1,625.47x = 1,590,620.04
  5. Step 5: Solve for x
    x = 1,590,620.04/1,625.47
  6. Step 6: Final answer
    x = 978.56

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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.