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Finding the Fourth Proportional to 2,323.87, 3,485.25 and 1,387.07

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Solution

The fourth proportional to 2,323.87, 3,485.25 and 1,387.07 is: 2,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.87 : 3,485.25 = 1,387.07 : x
  2. Step 2: Convert to fraction form
    2,323.87/3,485.25 = 1,387.07/x
  3. Step 3: Cross multiply
    2,323.87x = 3,485.25 × 1,387.07
  4. Step 4: Simplify right side
    2,323.87x = 4,834,285.72
  5. Step 5: Solve for x
    x = 4,834,285.72/2,323.87
  6. Step 6: Final answer
    x = 2,080.27

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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.