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Finding the Fourth Proportional to 2,323.69, 3,485.53 and 1,458.61

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Solution

The fourth proportional to 2,323.69, 3,485.53 and 1,458.61 is: 2,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.69 : 3,485.53 = 1,458.61 : x
  2. Step 2: Convert to fraction form
    2,323.69/3,485.53 = 1,458.61/x
  3. Step 3: Cross multiply
    2,323.69x = 3,485.53 × 1,458.61
  4. Step 4: Simplify right side
    2,323.69x = 5,084,022.02
  5. Step 5: Solve for x
    x = 5,084,022.02/2,323.69
  6. Step 6: Final answer
    x = 2,187.91

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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.