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Finding the Fourth Proportional to 2,315.60, 3,464.76 and 2,289.68

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Solution

The fourth proportional to 2,315.60, 3,464.76 and 2,289.68 is: 3,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.60 : 3,464.76 = 2,289.68 : x
  2. Step 2: Convert to fraction form
    2,315.60/3,464.76 = 2,289.68/x
  3. Step 3: Cross multiply
    2,315.60x = 3,464.76 × 2,289.68
  4. Step 4: Simplify right side
    2,315.60x = 7,933,191.68
  5. Step 5: Solve for x
    x = 7,933,191.68/2,315.60
  6. Step 6: Final answer
    x = 3,425.98

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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.