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Finding the Fourth Proportional to 4,276.42, 6,414.61 and 1,156.42

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Solution

The fourth proportional to 4,276.42, 6,414.61 and 1,156.42 is: 1,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.42 : 6,414.61 = 1,156.42 : x
  2. Step 2: Convert to fraction form
    4,276.42/6,414.61 = 1,156.42/x
  3. Step 3: Cross multiply
    4,276.42x = 6,414.61 × 1,156.42
  4. Step 4: Simplify right side
    4,276.42x = 7,417,957.76
  5. Step 5: Solve for x
    x = 7,417,957.76/4,276.42
  6. Step 6: Final answer
    x = 1,734.62

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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.