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Finding the Fourth Proportional to 4,274.56, 6,411.72 and 1,154.80

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Solution

The fourth proportional to 4,274.56, 6,411.72 and 1,154.80 is: 1,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.56 : 6,411.72 = 1,154.80 : x
  2. Step 2: Convert to fraction form
    4,274.56/6,411.72 = 1,154.80/x
  3. Step 3: Cross multiply
    4,274.56x = 6,411.72 × 1,154.80
  4. Step 4: Simplify right side
    4,274.56x = 7,404,254.26
  5. Step 5: Solve for x
    x = 7,404,254.26/4,274.56
  6. Step 6: Final answer
    x = 1,732.17

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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.