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Finding the Fourth Proportional to 2,898.88, 4,344.54 and 1,166.56

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Solution

The fourth proportional to 2,898.88, 4,344.54 and 1,166.56 is: 1,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.88 : 4,344.54 = 1,166.56 : x
  2. Step 2: Convert to fraction form
    2,898.88/4,344.54 = 1,166.56/x
  3. Step 3: Cross multiply
    2,898.88x = 4,344.54 × 1,166.56
  4. Step 4: Simplify right side
    2,898.88x = 5,068,166.58
  5. Step 5: Solve for x
    x = 5,068,166.58/2,898.88
  6. Step 6: Final answer
    x = 1,748.32

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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.