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Finding the Fourth Proportional to 2,323.68, 3,485.52 and 2,284.80

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Solution

The fourth proportional to 2,323.68, 3,485.52 and 2,284.80 is: 3,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.68 : 3,485.52 = 2,284.80 : x
  2. Step 2: Convert to fraction form
    2,323.68/3,485.52 = 2,284.80/x
  3. Step 3: Cross multiply
    2,323.68x = 3,485.52 × 2,284.80
  4. Step 4: Simplify right side
    2,323.68x = 7,963,716.10
  5. Step 5: Solve for x
    x = 7,963,716.10/2,323.68
  6. Step 6: Final answer
    x = 3,427.20

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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.