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Finding the Fourth Proportional to 2,419.55, 3,632.40 and 2,056.64

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Solution

The fourth proportional to 2,419.55, 3,632.40 and 2,056.64 is: 3,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.55 : 3,632.40 = 2,056.64 : x
  2. Step 2: Convert to fraction form
    2,419.55/3,632.40 = 2,056.64/x
  3. Step 3: Cross multiply
    2,419.55x = 3,632.40 × 2,056.64
  4. Step 4: Simplify right side
    2,419.55x = 7,470,539.14
  5. Step 5: Solve for x
    x = 7,470,539.14/2,419.55
  6. Step 6: Final answer
    x = 3,087.57

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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.