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Finding the Fourth Proportional to 1,924.09, 2,885.76 and 625.25

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Solution

The fourth proportional to 1,924.09, 2,885.76 and 625.25 is: 937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.09 : 2,885.76 = 625.25 : x
  2. Step 2: Convert to fraction form
    1,924.09/2,885.76 = 625.25/x
  3. Step 3: Cross multiply
    1,924.09x = 2,885.76 × 625.25
  4. Step 4: Simplify right side
    1,924.09x = 1,804,328.65
  5. Step 5: Solve for x
    x = 1,804,328.65/1,924.09
  6. Step 6: Final answer
    x = 937.76

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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.