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Finding the Fourth Proportional to 1,898.69, 2,844.90 and 1,166.72

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Solution

The fourth proportional to 1,898.69, 2,844.90 and 1,166.72 is: 1,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.69 : 2,844.90 = 1,166.72 : x
  2. Step 2: Convert to fraction form
    1,898.69/2,844.90 = 1,166.72/x
  3. Step 3: Cross multiply
    1,898.69x = 2,844.90 × 1,166.72
  4. Step 4: Simplify right side
    1,898.69x = 3,319,187.50
  5. Step 5: Solve for x
    x = 3,319,187.50/1,898.69
  6. Step 6: Final answer
    x = 1,748.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.