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Finding the Fourth Proportional to 2,289.60, 3,435.72 and 1,367.40

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Solution

The fourth proportional to 2,289.60, 3,435.72 and 1,367.40 is: 2,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.60 : 3,435.72 = 1,367.40 : x
  2. Step 2: Convert to fraction form
    2,289.60/3,435.72 = 1,367.40/x
  3. Step 3: Cross multiply
    2,289.60x = 3,435.72 × 1,367.40
  4. Step 4: Simplify right side
    2,289.60x = 4,698,003.53
  5. Step 5: Solve for x
    x = 4,698,003.53/2,289.60
  6. Step 6: Final answer
    x = 2,051.89

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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.