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Finding the Fourth Proportional to 2,898.17, 4,347.21 and 1,166.75

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Solution

The fourth proportional to 2,898.17, 4,347.21 and 1,166.75 is: 1,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.17 : 4,347.21 = 1,166.75 : x
  2. Step 2: Convert to fraction form
    2,898.17/4,347.21 = 1,166.75/x
  3. Step 3: Cross multiply
    2,898.17x = 4,347.21 × 1,166.75
  4. Step 4: Simplify right side
    2,898.17x = 5,072,107.27
  5. Step 5: Solve for x
    x = 5,072,107.27/2,898.17
  6. Step 6: Final answer
    x = 1,750.11

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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.