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Finding the Fourth Proportional to 2,970.88, 4,454.66 and 1,215.41

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Solution

The fourth proportional to 2,970.88, 4,454.66 and 1,215.41 is: 1,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.88 : 4,454.66 = 1,215.41 : x
  2. Step 2: Convert to fraction form
    2,970.88/4,454.66 = 1,215.41/x
  3. Step 3: Cross multiply
    2,970.88x = 4,454.66 × 1,215.41
  4. Step 4: Simplify right side
    2,970.88x = 5,414,219.08
  5. Step 5: Solve for x
    x = 5,414,219.08/2,970.88
  6. Step 6: Final answer
    x = 1,822.43

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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.