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Finding the Fourth Proportional to 4,689.60, 7,034.64 and 1,226.88

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Solution

The fourth proportional to 4,689.60, 7,034.64 and 1,226.88 is: 1,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.60 : 7,034.64 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    4,689.60/7,034.64 = 1,226.88/x
  3. Step 3: Cross multiply
    4,689.60x = 7,034.64 × 1,226.88
  4. Step 4: Simplify right side
    4,689.60x = 8,630,659.12
  5. Step 5: Solve for x
    x = 8,630,659.12/4,689.60
  6. Step 6: Final answer
    x = 1,840.38

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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.