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Finding the Fourth Proportional to 3,032.37, 4,548.02 and 811.25

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Solution

The fourth proportional to 3,032.37, 4,548.02 and 811.25 is: 1,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.37 : 4,548.02 = 811.25 : x
  2. Step 2: Convert to fraction form
    3,032.37/4,548.02 = 811.25/x
  3. Step 3: Cross multiply
    3,032.37x = 4,548.02 × 811.25
  4. Step 4: Simplify right side
    3,032.37x = 3,689,554.43
  5. Step 5: Solve for x
    x = 3,689,554.43/3,032.37
  6. Step 6: Final answer
    x = 1,216.72

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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.