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Finding the Fourth Proportional to 2,957.76, 4,438.08 and 1,418.88

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Solution

The fourth proportional to 2,957.76, 4,438.08 and 1,418.88 is: 2,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.76 : 4,438.08 = 1,418.88 : x
  2. Step 2: Convert to fraction form
    2,957.76/4,438.08 = 1,418.88/x
  3. Step 3: Cross multiply
    2,957.76x = 4,438.08 × 1,418.88
  4. Step 4: Simplify right side
    2,957.76x = 6,297,102.95
  5. Step 5: Solve for x
    x = 6,297,102.95/2,957.76
  6. Step 6: Final answer
    x = 2,129.01

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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.