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Finding the Fourth Proportional to 2,323.35, 3,485.19 and 936.70

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Solution

The fourth proportional to 2,323.35, 3,485.19 and 936.70 is: 1,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.35 : 3,485.19 = 936.70 : x
  2. Step 2: Convert to fraction form
    2,323.35/3,485.19 = 936.70/x
  3. Step 3: Cross multiply
    2,323.35x = 3,485.19 × 936.70
  4. Step 4: Simplify right side
    2,323.35x = 3,264,580.27
  5. Step 5: Solve for x
    x = 3,264,580.27/2,323.35
  6. Step 6: Final answer
    x = 1,405.12

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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.