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Finding the Fourth Proportional to 1,571.20, 2,355.46 and 646.18

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Solution

The fourth proportional to 1,571.20, 2,355.46 and 646.18 is: 968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.20 : 2,355.46 = 646.18 : x
  2. Step 2: Convert to fraction form
    1,571.20/2,355.46 = 646.18/x
  3. Step 3: Cross multiply
    1,571.20x = 2,355.46 × 646.18
  4. Step 4: Simplify right side
    1,571.20x = 1,522,051.14
  5. Step 5: Solve for x
    x = 1,522,051.14/1,571.20
  6. Step 6: Final answer
    x = 968.72

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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.