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Finding the Fourth Proportional to 2,325.10, 3,485.40 and 862.78

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Solution

The fourth proportional to 2,325.10, 3,485.40 and 862.78 is: 1,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.10 : 3,485.40 = 862.78 : x
  2. Step 2: Convert to fraction form
    2,325.10/3,485.40 = 862.78/x
  3. Step 3: Cross multiply
    2,325.10x = 3,485.40 × 862.78
  4. Step 4: Simplify right side
    2,325.10x = 3,007,133.41
  5. Step 5: Solve for x
    x = 3,007,133.41/2,325.10
  6. Step 6: Final answer
    x = 1,293.34

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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.