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Finding the Fourth Proportional to 2,559.60, 3,840.78 and 1,390.50

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Solution

The fourth proportional to 2,559.60, 3,840.78 and 1,390.50 is: 2,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.60 : 3,840.78 = 1,390.50 : x
  2. Step 2: Convert to fraction form
    2,559.60/3,840.78 = 1,390.50/x
  3. Step 3: Cross multiply
    2,559.60x = 3,840.78 × 1,390.50
  4. Step 4: Simplify right side
    2,559.60x = 5,340,604.59
  5. Step 5: Solve for x
    x = 5,340,604.59/2,559.60
  6. Step 6: Final answer
    x = 2,086.50

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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.