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Finding the Fourth Proportional to 2,967.58, 4,454.97 and 1,387.81

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Solution

The fourth proportional to 2,967.58, 4,454.97 and 1,387.81 is: 2,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.58 : 4,454.97 = 1,387.81 : x
  2. Step 2: Convert to fraction form
    2,967.58/4,454.97 = 1,387.81/x
  3. Step 3: Cross multiply
    2,967.58x = 4,454.97 × 1,387.81
  4. Step 4: Simplify right side
    2,967.58x = 6,182,651.92
  5. Step 5: Solve for x
    x = 6,182,651.92/2,967.58
  6. Step 6: Final answer
    x = 2,083.40

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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.