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Finding the Fourth Proportional to 1,639.22, 2,459.84 and 947.25

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Solution

The fourth proportional to 1,639.22, 2,459.84 and 947.25 is: 1,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.22 : 2,459.84 = 947.25 : x
  2. Step 2: Convert to fraction form
    1,639.22/2,459.84 = 947.25/x
  3. Step 3: Cross multiply
    1,639.22x = 2,459.84 × 947.25
  4. Step 4: Simplify right side
    1,639.22x = 2,330,078.70
  5. Step 5: Solve for x
    x = 2,330,078.70/1,639.22
  6. Step 6: Final answer
    x = 1,421.46

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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.