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Finding the Fourth Proportional to 1,625.02, 2,438.07 and 975.94

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Solution

The fourth proportional to 1,625.02, 2,438.07 and 975.94 is: 1,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.02 : 2,438.07 = 975.94 : x
  2. Step 2: Convert to fraction form
    1,625.02/2,438.07 = 975.94/x
  3. Step 3: Cross multiply
    1,625.02x = 2,438.07 × 975.94
  4. Step 4: Simplify right side
    1,625.02x = 2,379,410.04
  5. Step 5: Solve for x
    x = 2,379,410.04/1,625.02
  6. Step 6: Final answer
    x = 1,464.23

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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.