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Finding the Fourth Proportional to 2,289.60, 3,432.48 and 1,119.60

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Solution

The fourth proportional to 2,289.60, 3,432.48 and 1,119.60 is: 1,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.60 : 3,432.48 = 1,119.60 : x
  2. Step 2: Convert to fraction form
    2,289.60/3,432.48 = 1,119.60/x
  3. Step 3: Cross multiply
    2,289.60x = 3,432.48 × 1,119.60
  4. Step 4: Simplify right side
    2,289.60x = 3,843,004.61
  5. Step 5: Solve for x
    x = 3,843,004.61/2,289.60
  6. Step 6: Final answer
    x = 1,678.46

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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.