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Finding the Fourth Proportional to 2,919.84, 4,380.42 and 972.12

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Solution

The fourth proportional to 2,919.84, 4,380.42 and 972.12 is: 1,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.84 : 4,380.42 = 972.12 : x
  2. Step 2: Convert to fraction form
    2,919.84/4,380.42 = 972.12/x
  3. Step 3: Cross multiply
    2,919.84x = 4,380.42 × 972.12
  4. Step 4: Simplify right side
    2,919.84x = 4,258,293.89
  5. Step 5: Solve for x
    x = 4,258,293.89/2,919.84
  6. Step 6: Final answer
    x = 1,458.40

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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.