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Finding the Fourth Proportional to 2,559.64, 3,840.03 and 917.38

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Solution

The fourth proportional to 2,559.64, 3,840.03 and 917.38 is: 1,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.64 : 3,840.03 = 917.38 : x
  2. Step 2: Convert to fraction form
    2,559.64/3,840.03 = 917.38/x
  3. Step 3: Cross multiply
    2,559.64x = 3,840.03 × 917.38
  4. Step 4: Simplify right side
    2,559.64x = 3,522,766.72
  5. Step 5: Solve for x
    x = 3,522,766.72/2,559.64
  6. Step 6: Final answer
    x = 1,376.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.