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Finding the Fourth Proportional to 1,323.93, 1,835.75 and 1,280.02

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Solution

The fourth proportional to 1,323.93, 1,835.75 and 1,280.02 is: 1,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.93 : 1,835.75 = 1,280.02 : x
  2. Step 2: Convert to fraction form
    1,323.93/1,835.75 = 1,280.02/x
  3. Step 3: Cross multiply
    1,323.93x = 1,835.75 × 1,280.02
  4. Step 4: Simplify right side
    1,323.93x = 2,349,796.72
  5. Step 5: Solve for x
    x = 2,349,796.72/1,323.93
  6. Step 6: Final answer
    x = 1,774.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.