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Finding the Fourth Proportional to 2,263.60, 3,394.34 and 877.60

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Solution

The fourth proportional to 2,263.60, 3,394.34 and 877.60 is: 1,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.60 : 3,394.34 = 877.60 : x
  2. Step 2: Convert to fraction form
    2,263.60/3,394.34 = 877.60/x
  3. Step 3: Cross multiply
    2,263.60x = 3,394.34 × 877.60
  4. Step 4: Simplify right side
    2,263.60x = 2,978,872.78
  5. Step 5: Solve for x
    x = 2,978,872.78/2,263.60
  6. Step 6: Final answer
    x = 1,315.99

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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.