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Finding the Fourth Proportional to 2,485.94, 3,725.54 and 946.10

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Solution

The fourth proportional to 2,485.94, 3,725.54 and 946.10 is: 1,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.94 : 3,725.54 = 946.10 : x
  2. Step 2: Convert to fraction form
    2,485.94/3,725.54 = 946.10/x
  3. Step 3: Cross multiply
    2,485.94x = 3,725.54 × 946.10
  4. Step 4: Simplify right side
    2,485.94x = 3,524,717.13
  5. Step 5: Solve for x
    x = 3,524,717.13/2,485.94
  6. Step 6: Final answer
    x = 1,417.86

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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.